Answer
$\dfrac{1}{z^{26}}
$
Work Step by Step
Using laws of exponents, the given expression simplifies to
\begin{align*}
&
\left( z^{-2} \right)^{13}
\\&=
z^{-2(13)}
\\&=
z^{-26}
\\\\&=
\dfrac{1}{z^{26}}
.\end{align*}
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