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( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | each one of those composers has a different language and a different character , and i 'm certainly going to think differently when i do it . it 's probably mostly for me , but the hope is that it translates to the audience , and that they understand the difference in playing . i mean , one should hear a beethoven symp... | what is the difference between closed hole , and opened hole flutes ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | and the players have to reflect that , that 's part of our job as interpreters , to show those differences . ( sombre music ) i started the flute in high school band , in grade seven , and i 'm often asked why i chose the flute . i 'll be perfectly honest , i do n't remember . | how much does a wood or cheap flute usually cost ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | and the players have to reflect that , that 's part of our job as interpreters , to show those differences . ( sombre music ) i started the flute in high school band , in grade seven , and i 'm often asked why i chose the flute . i 'll be perfectly honest , i do n't remember . | what is the difference between flute and piccolo ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | ( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . | is the flute made of real actual gold ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | and the players have to reflect that , that 's part of our job as interpreters , to show those differences . ( sombre music ) i started the flute in high school band , in grade seven , and i 'm often asked why i chose the flute . i 'll be perfectly honest , i do n't remember . | how is high school band in 'grade 7 ' ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | pianists can play the wonderful , wonderful music , and can make a life out of playing great music all by themselves . and they also play the whole part . and string players have wonderful repertoire , and they can play chamber music by brahms , by beethoven , by mozart . | why ca n't you just put your whole mouth in the flute is it because when you play it the wind that you just blew bounces back out to make a sound ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | and the players have to reflect that , that 's part of our job as interpreters , to show those differences . ( sombre music ) i started the flute in high school band , in grade seven , and i 'm often asked why i chose the flute . i 'll be perfectly honest , i do n't remember . | what is the difference between european flute and indian classical flute ? |
( energetic music ) ( music become tranquil ) jeffrey the flute is made of gold , this particular one is made of gold , they 're most often made in silver , but people use wood flutes now , again , as they used to many years ago . of course , it 's a `` woodwind '' instrument . but this one is 14 carat gold . this part... | and the players have to reflect that , that 's part of our job as interpreters , to show those differences . ( sombre music ) i started the flute in high school band , in grade seven , and i 'm often asked why i chose the flute . i 'll be perfectly honest , i do n't remember . | how much does a flute usually cost ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | in that number turns out to be 40 . so the partial pressure of arterial -- and i could just as easily say alveolar here -- but arterial co2 , because that 's what we measure is 40 . so that 's the first clue as to how we 're going to figure out how much oxygen is leaving . | is there a video that covers arterial blood gases ( abgs ) ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | it turns out that there 's a relationship , and we call it the respiratory quotient . and respiratory quotient -- actually sometimes they end up shorthanding it to just rq . so sometimes you 'll see rq . and what rq is , is it 's a relationship between oxygen and carbon dioxide . | instead of using what the person eats to compute the rq , could a doctor measure the rq to figure out what a person is eating ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | now let 's say instead of sugars , my diet consists of , i do n't know , let 's say fats and lipids and things like that . so a slightly different diet . it turns out that now my body is actually a little bit more efficient . | 2 , is the amount of co2 the body produces only dependant on diet ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | but you also can see that , of course , alveoli are going to be releasing oxygen to a little blood vessel nearby . so of course if there 's an alveolar sac right here , you must also have some blood rushing by . and there might be some gas exchange . | for the alveolar equation , why are n't we also considering the o2 that is leaving the pulmonary capillaries and re entering the alveli after being gone through the systemic circuit ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | so of course if there 's an alveolar sac right here , you must also have some blood rushing by . and there might be some gas exchange . of course , there probably will be some gas exchange . | what exactly is the formula for gas equation ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | and so if you have some oxygen going out , you have to subtract from this formula the oxygen that 's leaving . and that would be the second part of this equation . we have to figure out how much is leaving . | could you help edit this equation to demonstrate what happens with diffusion hypoxia as a result of turning off a patients nitrous oxide flow ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | this a means the alveolar , because it 's capitalized just like this a over here is capitalized . so how do we calculate the alveolar oxygen concentration ? let 's start where we left off , and i 'll wrap things up . | the massive diffusion of n2o back into the alveolar space ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | and so if you have some oxygen going out , you have to subtract from this formula the oxygen that 's leaving . and that would be the second part of this equation . we have to figure out how much is leaving . | the second question related to that is why would a diet composed of fats or protein be more efficient than sugar ? |
in our last video , we were kind of getting to the idea that there 's a partial pressure of oxygen that is a little bit lower in the bronchial tree than you would expect by just comparing it to the air that you breathe in . and the reason is because we said , well , of course you have a little bit of water vapor . and ... | now let 's say instead of sugars , my diet consists of , i do n't know , let 's say fats and lipids and things like that . so a slightly different diet . it turns out that now my body is actually a little bit more efficient . | what would the rq be in a person on a high protein diet ? |
in the last video , we learned about nucleophiles and electrophiles . and in this video , we 're gon na look at some simple organic chemistry mechanisms and learn to identify the electrophiles and nucleophiles and also think about how to show the movement of electrons during a mechanism . remember from general chemist... | we can take these two electrons and move them off onto our oxygen . so in our first step , our nucleophile attacks our electrophile , and we form a carbon-carbon bond . so we also have an oxygen here with three lone pairs of electrons around it , which give it a negative one formal charge , so we can follow some of tho... | would someone please remind me why ( ) the electron pair shifts first to the carboxylate oxygen and then back to reform the double bond to kick out the cl- rather than the cl- just leaving as the carboxylate attacks the carbonyl carbon of acetyl chloride ? |
in the last video , we learned about nucleophiles and electrophiles . and in this video , we 're gon na look at some simple organic chemistry mechanisms and learn to identify the electrophiles and nucleophiles and also think about how to show the movement of electrons during a mechanism . remember from general chemist... | and we can say that the nucleophile attacks the electrophile and i draw a curved arrow to show the movement of these two electrons . now , i ca n't show a bond directly from this oxygen to this carbon until i take these pi electrons and move them off onto the top oxygen here because remember , carbon can never exceed a... | around why ca n't oxygen leave as a leaving group as oxide ( 2- ion ) ? |
in the last video , we learned about nucleophiles and electrophiles . and in this video , we 're gon na look at some simple organic chemistry mechanisms and learn to identify the electrophiles and nucleophiles and also think about how to show the movement of electrons during a mechanism . remember from general chemist... | so we also have an oxygen here with three lone pairs of electrons around it , which give it a negative one formal charge , so we can follow some of those electrons , let me make them blue here . so these electrons come off onto our oxygen , giving the oxygen a negative one formal charge . i 'm going to form a bond betw... | how many electrons does it take for an atom to have a negative one formal charge ? |
in the last video , we learned about nucleophiles and electrophiles . and in this video , we 're gon na look at some simple organic chemistry mechanisms and learn to identify the electrophiles and nucleophiles and also think about how to show the movement of electrons during a mechanism . remember from general chemist... | and it turns out this is a two step mechanism , and in the second step of this mechanism , we 're gon na get loss of a leaving group . so let 's say a lone pair of electrons on this oxygen moves back in to reform a carbonyl , but we can not exceed an octet of electrons to this carbon . so that must mean that these two ... | why is it that oxygen tends to take back it 's electrons to reform a carbonyl group ? |
in the last video , we learned about nucleophiles and electrophiles . and in this video , we 're gon na look at some simple organic chemistry mechanisms and learn to identify the electrophiles and nucleophiles and also think about how to show the movement of electrons during a mechanism . remember from general chemist... | we know that oxygen is more electronegative than carbon , so this oxygen is going to withdraw some electron density from this carbon . and this chlorine is gon na do the same thing because chlorine is more electronegative than carbon too . so this carbon is electron deficient , right , it is partially positive , and th... | is chlorine a leaving group in this scenario simply because the attacking group is more electronegative than chlorine ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | anything to zero power is one ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | does that include zero to the zero power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so if i say 7 to the zeroth power , what does that equal ? and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . | why is n^0 = 1 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | this is 27 x to the third power . now you might have said , hey , was n't 3x times 3x times 3x . was n't that 3x to the third power ? | since n^1 = n ( n times itself once ) and n^2 = n * n ( n times itself twice ) , should n't n^0 = 0 ( n times itself 0 , or no times ) ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | this is going to be equal to -- we have the same base , x . we can add the exponents , x to the 1 plus 4 plus 2 power , and i 'll add it in the next step . and then on the y 's , this is times y to the 2 plus 2 plus 2 power . | can you not add the exponents of numbers with different bases ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 27 to 9 , you divide by 3 . to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | what is the name of the exponent property sal mentioned 8 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's what this middle part simplifies to . and let 's see if we can merge it with the other parts . the other parts , just to remember , were 2 xy squared , and then 3x squared y squared . | where did the -1 go ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and that 's the question of what happens when you take something to the zeroth power ? so if i say 7 to the zeroth power , what does that equal ? and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . | for the exponents involving a power above 2 ; 7*7 - would you multiply 7 x 7 , get your answer then multiply the answer by 7 again ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | what reason to convert an exponent from negative to positive have make it a fraccion ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | why just change exponent sign and no the entire factor sign ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and this is going to be a really huge number , but i want to write it as a power of 6 . let me write the 6 to the sixth in a different color . 6 to the third times 6 to the sixth power , what is this going to be equal to ? | what happens when the bases are different ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | if x^2 can be `` x squared '' or `` x to the second '' , and x^3 can be `` x cubed '' or `` x to the third '' , what is x^4 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . | is it proper to put all the exponential equations in parenthesis ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and now what are these equal to ? well , 2 times 3 . you knew how to do that . | would 2^3 be ... politically acceptable or does it need to be ( 2 ) ^3 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | if this is the case , why do negative numbers to the power of zero = -1 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | what if the exponent has a exponent ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | 3 to the second power is 9 . 3 to the third power is 27 . and of course , we 're trying to figure out what should 3 to the zeroth power be ? | 3 , do you have to use parentheses or could you just write that 3x to the third power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and we wanted to simplify this . this you can view as negative 1 times x squared times y squared . so if we take this whole thing to the squared power , this is like raising each of these to the second power . so this part right here could be simplified as negative 1 squared times x squared squared , times y squared . ... | after sal finishes simplifying the second bracket at around how come he does n't put a bracket around y^2 but one around ( -1 ) ^2 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | what is zero to the zeroth power going to be ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . see you in the next video . | and what about negative numbers to the zeroth power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | if i were to ask you what 3 to the second power is , or 3 squared , this is equal to 3 times itself two times . this is equal to 3 times 3 . which is equal to 9 . | why is ( 4^-3 ) ( 2^-3 ) = 8^-3 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | what is x to the squared or x squared times x to the fourth ? well , we could use the property we just learned . we have the exact same base , x . | why do we use `` mn '' as our variables instead of `` ab '' ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | what would zero to the zero power be ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | what does the x stand for ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so if i say 7 to the zeroth power , what does that equal ? and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give y... | if 7 to the zero power is 1 , and 2 to the 0 power is 1 , what is 0 to the 1 power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . see you in the next video . | if 1 to the zeroth power is 1 what is 0 to the zeroth power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | is it possible to do a fraction as an exponent ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | three times here and then another six times here . so we 're multiplying 6 times itself nine times . 3 plus 6 . so this is equal to 6 to the 3 plus 6 power or 6 to the ninth power . and just like that , we/ve stumbled on another exponent property . | would 6 to the -3 power times 6 to the -5 power be 12 to the 8th power because 2 negatives = a positive ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | is x to the 4th the same as 4x ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | then you get one more , times 6 . so what is this whole number going to be ? well , this whole thing -- we 're multiplying 6 times itself -- how many times ? | can the exponent of a number be `` i '' as in an imaginary number ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | on a mac how do you write the exponent ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | as in x squared , how do you write the 2 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i would say no , it is not 6 . this means 2 times itself , three times . so this is going to be equal to 2 times 2 times 2 , which is equal to 2 times 2 is 4 . 4 times 2 is equal to 8 . | i have a question- if 2^3=8 and a negative times a negative is a positive , would 2^2= -2^2 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and this is going to be a really huge number , but i want to write it as a power of 6 . let me write the 6 to the sixth in a different color . 6 to the third times 6 to the sixth power , what is this going to be equal to ? | what happens if the # or variable are different ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so if i say 7 to the zeroth power , what does that equal ? and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give y... | also , why is any number to the 0th power 1 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | you 're multiplying 3x times itself three times . and i would say , yes it is . so this , right here , you could interpret that as 3x to the third power . and just like that , we stumbled on one of our exponent properties . | could you say 3x to the third power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . think about i... | 8 sal talks about the zero exponent , well how is that possible ( how can i prove it ) and what is 0 to the zero power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's 6 times itself six times . so , it 's 6 times 6 times 6 times 6 times 6 . then you get one more , times 6 . | is -a^4 * -a^2 simplified equal to a^6 or negative a^6 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | if x^2 can be `` x squared '' or `` x to the second '' , and x^3 can be `` x cubed '' or `` x to the third '' , what is x^4 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and if you do n't believe me , what is x squared ? x squared is equal to x times x . and if you were going to multiply that times x to the fourth , you 're multiplying it by x times itself four times . | so if the base is by itself with an exponent ( x^3 ) ^4 i would multiply both exponent to get the answer of x^12 right ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so you know , 2 to the first power is just 2 . 3 to the first power is just 3 . so what is this going to be equal to ? | lets say if there more then one bases like ( x^2x^3 ) ^4 i would have add the two exponents inside the parentheses first and then multiply it by the exponent outside the parenthesis ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | we saw that right here . x squared times x to the fourth is equal to x to the sixth , 2 plus 4 . we also saw that if i have x times y to the a power , this is the same thing is x to the a power times y to the a power . | ok what is x raised to 4 or powered to 4 is 216 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | was n't that 3x to the third power ? right ? you 're multiplying 3x times itself three times . | 5 to the 7th power would be 78,125 right ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's equal to 5 times itself , seven times . 5 times 5 times 5 times 5 times 5 times 5 times 5 . that 's seven , right ? | what is 5 to the negative 9th power be ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | if i were to ask you what 3 to the second power is , or 3 squared , this is equal to 3 times itself two times . this is equal to 3 times 3 . which is equal to 9 . | and how do i differentiate between 27x^3 ( 27*x^3 ) and 27x^3 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | a to the third and then raise that to the fourth power is the same thing is a to the 3 times 4 or a to the 12th power . so let 's use these properties to do a handful of more complex problems . let 's say we have 2xy squared times negative x squared y squared times three x squared y squared . | how do i use the properties of exponents to prove the following ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | wait would zero to the power of zero still be 0 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | well , one thing you need to remember about multiplication is , it does n't matter what order you do the multiplication in . so this is going to be the same thing as 3 times 3 times 3 times x times x times x . and just based on what we reviewed just here , that part right there , 3 times 3 , three times , that 's 3 to ... | does it just make it easier to write extremely large numbers ( such as the case with scientific notation ) , for writing a number x itself however many times easier ( for example , 3 x 3 x 3 x 3 x 3 x 3 + 7 can be written as 3^6 + 7 instead ) or was it for a different reason ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so one thing that you might appreciate very quickly is that exponents increase very rapidly . 5 to the 17th would be even a way , way more massive number . but anyway , that 's a review of exponents . let 's get a little bit steeped in algebra , using exponents . so what would 3x -- let me do this in a different color ... | bonus question here , when were exponents first written that way/developed ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so let 's use these properties to do a handful of more complex problems . let 's say we have 2xy squared times negative x squared y squared times three x squared y squared . and we wanted to simplify this . | when sal is simplifying the equation he has negative x squared so how does that become a positive ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | anything to the first power is just that number . so you know , 2 to the first power is just 2 . 3 to the first power is just 3 . | how do you know to put a negative sign or positive sign ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | is 0 to the power 0 of 0 zero ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's 6 times itself six times . so , it 's 6 times 6 times 6 times 6 times 6 . then you get one more , times 6 . | if 6 was the integer in the equation then how could you see the addition of the negive towards the original number ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so one thing that you might appreciate very quickly is that exponents increase very rapidly . 5 to the 17th would be even a way , way more massive number . but anyway , that 's a review of exponents . | seventh grade your be first form in my country , 8th would be about 2nd form and 9th would probably be 3rd form and it goes all the way up to fifth so i really want to know what level of work this is ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's equal to 5 times itself , seven times . 5 times 5 times 5 times 5 times 5 times 5 times 5 . that 's seven , right ? | if you had a negative exponent over a positive exponent like this 5^-3/5^10 would you add 3 + 10 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . | what does `` ^ '' represent ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so you know , 2 to the first power is just 2 . 3 to the first power is just 3 . so what is this going to be equal to ? | what would 3 to the 1/3 power be ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so this is going to be equal to 2 times 2 times 2 , which is equal to 2 times 2 is 4 . 4 times 2 is equal to 8 . if i were to ask you what 3 to the second power is , or 3 squared , this is equal to 3 times itself two times . | im in seventh grade and not to smart lol and my teacher wants me to do 8 grade math why ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and just to give you a little bit of intuition on why that is . think about it this way . 3 to the first power -- let me write the powers -- 3 to the first , second , third . we 'll just do it the with the number 3 . so 3 to the first power is 3 . i think that makes sense . | so if any number to the zero power is 1 , is the 1 that comes from that equation to the power of 1 now ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and we wanted to simplify this . this you can view as negative 1 times x squared times y squared . so if we take this whole thing to the squared power , this is like raising each of these to the second power . | 5 sal said `` this you could view as negative one times x^2 '' , can anyone explain this to me ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's what this middle part simplifies to . and let 's see if we can merge it with the other parts . the other parts , just to remember , were 2 xy squared , and then 3x squared y squared . | why did n't you include the negative one ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . see you in the next video . | why is the zeroth power always 1 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | to go from 9 to 3 , you divide by 3 . so to go from this exponent to that exponent , maybe we should divide by 3 again . and that 's why , anything to the zeroth power , in this case , 3 to the zeroth power is 1 . | is it because the exponent only distributes to multiplied numbers , not added ones ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so you know , 2 to the first power is just 2 . 3 to the first power is just 3 . so what is this going to be equal to ? | how does 3x^3 power equal the same as 27^3 power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | that 's 6 times itself six times . so , it 's 6 times 6 times 6 times 6 times 6 . then you get one more , times 6 . | what is 6*6*6*6*6*6*6*6*6 or 6^9 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . | what does this symbol mean : ^ ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | let 's get a little bit steeped in algebra , using exponents . so what would 3x -- let me do this in a different color -- what would 3x times 3x times 3x be ? well , one thing you need to remember about multiplication is , it does n't matter what order you do the multiplication in . | when we are doing the multiplication property , what would you do if it was a negative coefficient multiplied by a negative exponent , like for example ( -3x ) to the power of -2 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | any power of zero is one ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and now what are these equal to ? well , 2 times 3 . you knew how to do that . | what do you do if the exponent is a fraction such as x^3/2 power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | what 's zero to the zeroth power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | anything to zero power is one ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | does that include zero to the zero power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and we wanted to simplify this . this you can view as negative 1 times x squared times y squared . so if we take this whole thing to the squared power , this is like raising each of these to the second power . | if the middle bracket contains a negative integer and a negative an positive lead to another negative then why was n't it -6x to the 7th power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | and i 'll tell you right now -- and this might seem very counterintuitive -- this is equal to 1 , or 1 to the zeroth power is also equal to 1 . anything that the zeroth power , any non-zero number to the zero power is going to be equal to 1 . and just to give you a little bit of intuition on why that is . | what is zero to any power ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | anything to the first power is just that number . so you know , 2 to the first power is just 2 . 3 to the first power is just 3 . so what is this going to be equal to ? | i mean does it matter if we write ( 3x ) to the power of 3 or 27x to the power of 2 ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | so we 're multiplying 6 times itself nine times . 3 plus 6 . so this is equal to 6 to the 3 plus 6 power or 6 to the ninth power . | if it is k^3 + k^2 would you add the exponents ( so 3+2=6 so k^5 ) or would you multiply the exponents ( 3 x 2 = 6 so k^6 ) ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | a to the third and then raise that to the fourth power is the same thing is a to the 3 times 4 or a to the 12th power . so let 's use these properties to do a handful of more complex problems . let 's say we have 2xy squared times negative x squared y squared times three x squared y squared . | how are complex numbers used in the world ? |
in this video , i want to do a bunch of examples involving exponent properties . but , before i even do that , let 's have a little bit of a review of what an exponent even is . so let 's say i had 2 to the third power . you might be tempted to say , oh is that 6 ? and i would say no , it is not 6 . this means 2 times ... | well , one , two , three , four , five , six times . x to the sixth power . let 's do another one of these . | how does 3 to the 3rd power and x to the 3rd power equal 27x to the 3rd power ? |
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