Answer
$-\dfrac{1}{4}$
Work Step by Step
Using $a^{-x}=\dfrac{1}{a^x}$ and the laws of exponents, the given expression, $ -(2^{-2}),$ is equivalent to \begin{array}{l}\require{cancel}
\dfrac{-1}{2^2}
\\\\=
\dfrac{-1}{4}
\\\\=
-\dfrac{1}{4}
.\end{array}