Answer
$(-4)^{2}=16$
Work Step by Step
$(-4)^{2}\qquad$ ...rewrite $-4$ as $(-1)(4)$
$=((-1)(4))^{2}\qquad$ ...use $(ab)^{2}=a^{2}b^{2}$
$=(-1)^{2}(4)^{2}$
$=1\cdot 16$
$=16$
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