Answer
$\dfrac{1}{8}$
Work Step by Step
Using $a^{m/n}=\sqrt[n]{a^m}$ and $a^{-1}=\dfrac{1}{a}$, the expression $
64^{-1/2}
$ simplifies to
\begin{array}{l}
\dfrac{1}{64^{1/2}}
\\\\=
\dfrac{1}{\sqrt{64}}
\\\\=
\dfrac{1}{8}
.\end{array}
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