Answer
$\dfrac{1}{2}$
Work Step by Step
Using the properties of radicals, the given expression, $
\sqrt[3]{\dfrac{1}{8}}
,$ evaluates to
\begin{array}{l}\require{cancel}
\sqrt[3]{\left( \dfrac{1}{2} \right)^3}
\\\\=
\dfrac{1}{2}
.\end{array}