Question

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

Answer 1

A.

Answer 2

-3 reduced by 1/3 is a -1

Answer 3

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

Answer 4

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