Answer
$\frac{1}{125}^{-1/3}$ = 5
Work Step by Step
Directions: Simplify
$\frac{1}{125}^{-1/3}$
$\frac{1}{\frac{1}{125}^{1/3}}$
Rewrite to get rid rid of negative exponent
$\frac{1}{\sqrt[3] \frac{1}{125}}$
Rewrite the 1/3 exponent as a cubed root
$\frac{1}{\frac{1}{5}}$
Simplify
5
Divide to get final answer