#### Answer

($\frac{1}{125})^{1/3}$ = $\frac{1}{5}$

#### Work Step by Step

Find the indicated root of ($\frac{1}{125})^{1/3}$ =
$\sqrt[3]\frac{1}{125}$
Rewrite the exponent as a radical.
$\sqrt[3]{1}$ = 1
and
$\sqrt[3]{125}$ = 5
$\frac{1}{5}$
Take cubed root of numerator and denominator to get final answer.