Answer
$\dfrac{1}{10}$
Work Step by Step
The given expression, $
\sqrt[3]{\dfrac{1}{1000}}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{\left( \dfrac{1}{10} \right)^3}
\\\\=
\dfrac{1}{10}
.\end{array}
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