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Thank you We sneak in then here's your smoke du

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jour brought to you by fractional exponents Maybe finding a

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hobby would make them feel whole again All right so

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sixty four to the two thirds is equivalent to the

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something root of sixty four square All right so you've

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got a fifty fifty shot here The only choices in

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the drop down our square and cube You know we

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could flip a coin but well we wore our skinny

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jeans today and bad things happen All right This question

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wants to know is sixty four to the two thirds

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power equivalent to the square root of sixty four squared

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or the cube root of sixty four squared We hear

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of you always thinking times right All right So let's

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consider the first option What's the square root of sixty

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four squared isn't just sixty four Yeah go in sixty

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four can't be the same Is sixty four to the

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two thirds power so it looks like square can be

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the right answer That leaves just one option cube but

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because we don't like to settle for the process of

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elimination Well let's just see why that is well when

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dealing with fractional exponents the numerator is the power of

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the power and the denominator is the route I don't

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have a roof All right Which is why the square

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root of sixty four squared comes out to just sixty

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for because it's the same as sixty four to the

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to over to power which is just one or sixty

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four to the first and anything to the first power

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is just itself It's like me find one So when

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we see sixty four to the two thirds power it's

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the same as saying the cube root of sixty four

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square that free goes under work And yeah our answer

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is definitely cute Unless the question is why can we 00:01:50.336 --> [endTime] no longer feel our legs how it hurts

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