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## anonymous one year ago What is the simplest form of this expression? (x^-3)^1/3 a. x^-1 b. x^9 c. 1/x^9 d. 1/x

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1. anonymous

A.

2. anonymous

-3 reduced by 1/3 is a -1

3. SolomonZelman

$$\Large\color{black}{ \displaystyle \left(x^{\color{blue}{\rm a}}\right)^{\color{red}{\rm b}} =x^{\color{blue}{\rm a}~\times~\color{red}{\rm b}} }$$

4. SolomonZelman

This is the property you need. In your case: * a = -3 * * b = 1/3 *

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