Answer
$-\displaystyle \frac{1}{16}$
Work Step by Step
$-4^{-2}=-(4^{-2})$
Apply rule $\displaystyle \quad a^{-n}=\frac{1}{a^{n}}$
$-(4^{-2})=-\displaystyle \frac{1}{4^{2}}$ = $-\displaystyle \frac{1}{16}$
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