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- anonymous

Exponential Functions
a) (3/4)^-2
b) 6^-1/3x6^5/6
Rewrite the expressions as a single power with a positive exponent the evaluate. No Decimal Answers. Please explain how you do so please os I can understand. Thankyou

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- anonymous

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- anonymous

a this is the same thing as raising 4/3^2. So by flipping the fraction I can just square as you would normally. (4/3)^2 is 16/9. The same thing as 3/4^-2

- anonymous

What about b?

- anonymous

Do I only flip the first fraction?

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- anonymous

I got 72. Is it correct?

- anonymous

flipping the first fraction means instead of raising to a power of -2, you can just raise to a power of 2. so 4/3^2 is16/9.

- anonymous

Yes I have completed that. What about b?

- anonymous

I think that with b the best thing is this. 6^-1 / 3 x 6^5/6 ? this is the expression yes?

- anonymous

yes.

- anonymous

So bring the ^5/6 up to the numerator. And subtract. Giving 6^-11/6 divided by 3.
So this finishes up being 2 ^-11/6.

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