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Thank you We sneak And here's your shmoop du jour

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Which of the following is equivalent to sixty four times

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one Thirty second to the fourth time's one sixteen to

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the fifth And here the potential answers Okay so even

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if we didn't recognize that each of these numbers is

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a multiple of to we could have glanced at the

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answer choices and glean that fact real fast In these

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kinds of questions were almost always being asked to convert

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to powers of two in this questions No exception So

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we just convert everything to powers of two and rewrite

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it It will hurt a bit but the hard work

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is good for us Yeah feel the burn sixty for

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is two times two times two times two times two

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times two or two to the sixth Thirty two is

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to the fifth and sixteen is two to fourth Problem

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now looks like this Note also that when we have

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exponents in the denominator we can rewrite them is negative

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numbers so let's rewrite the problem to account for the

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fractions Get rid of them like their unwanted body fat

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And now we have a fully re written problem that

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looks like this First we multiply the exponents that are

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being raised to another power like this and once we

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do that we can add and subtract the exponents like

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this six minus twenty minus twenty which is negative thirty

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four and woot There we go it's answer Be hope 00:01:28.581 --> [endTime] you remembered to stretch first

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