Answer
$2$
Work Step by Step
Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the given expression, $
32^{1/5}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[5]{32^1}
\\\\=
\sqrt[5]{32}
\\\\=
\sqrt[5]{(2)^5}
\\\\=
2
.\end{array}