Answer
$10^{6/5}$
Work Step by Step
Using the laws of exponents, the given expression, $
\left( 10^{3/5} \right)^{2/5}
,$ simplifies to
\begin{array}{l}\require{cancel}
10^{\left( \frac{3}{5} \right) \left( \frac{2}{5} \right)}
\\\\=
10^{\frac{6}{5}}
\\\\=
10^{6/5}
.\end{array}