Answer
$(-13)^{2}=169$
Work Step by Step
$(-13)^{2}\qquad$ ...rewrite $-13$ as $(-1)(13)$
$=((-1)(13))^{2}\qquad$ ...use $(ab)^{2}=a^{2}b^{2}$
$=(-1)^{2}(13)^{2}$
$=1\cdot 169$
$=169$
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