Answer
$\huge(-2)^{-3}$
Work Step by Step
The answer is partially correct.
Changing the sign of the $\color{blue}{exponent}$ flips the numerator and denominator:
$ \large \frac{1}{x^\color{blue}{{2}}}=x^\color{blue}{{-2}}$
But the sign of the $\color{green}{base}$ doesn't change!
$\large \frac{1}{\color{green}{(-2)}^{3}} = \color{green}{(-2)}^{-3}$
The answer should be
$\huge(-2)^{-3}$
