Answer
$2x^{3}y^{2}\sqrt[5]{x}$
Work Step by Step
Extracting the factors that are perfect powers of the index, the given expression simplifies to
\begin{array}{l}\require{cancel}
\sqrt[5]{32x^{16}y^{10}}
\\\\=
\sqrt[5]{32x^{15}y^{10}\cdot x}
\\\\=
\sqrt[5]{(2x^{3}y^{2})^5\cdot x}
\\\\=
2x^{3}y^{2}\sqrt[5]{x}
.\end{array}
