Answer
$5$
Work Step by Step
Using $a^{m/n}=\sqrt[n]{a^m}=(\sqrt[n]{a})^m$, the given expression, $
125^{1/3}
,$ is equivalent to
\begin{array}{l}\require{cancel}
\sqrt[3]{125^1}
\\\\=
\sqrt[3]{125}
\\\\=
\sqrt[3]{(5)^3}
\\\\=
5
.\end{array}