Answer
$\frac{1}{25}$.
Work Step by Step
The given expression is
$=(-125)^{-\frac{2}{3}}$
Factor the radicand.
$=((-5)^3)^{-\frac{2}{3}}$
To raise a power to a power, multiply exponents.
$=(-5)^{3\cdot(-\frac{2}{3})}$
Simplify.
$=(-5)^{-2}$
$=\frac{1}{25}$.
