Answer
$13$
Work Step by Step
The given expression, $
(13^{-12})^2\cdot13^{25}
$, simplifies to
\begin{array}{l}
13^{-12(2)}\cdot13^{25}
\\\\=
13^{-24}\cdot13^{25}
\\\\=
13^{-24+25}
\\\\=
13^{1}
\\\\=
13
.\end{array}
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