#### Answer

$a\sqrt[3]{10}$

#### Work Step by Step

Using the properties of radicals, the given expression, $
\sqrt[3]{5a^2}\sqrt[3]{2a}
,$ simplifies to
\begin{array}{l}\require{cancel}
\sqrt[3]{5a^2(2a)}
\\\\=
\sqrt[3]{10a^3}
\\\\=
\sqrt[3]{a^3\cdot10}
\\\\=
\sqrt[3]{(a)^3\cdot10}
\\\\=
a\sqrt[3]{10}
\end{array}