#### Answer

Choice A

#### Work Step by Step

Using the Product Rule of the laws of exponents which is given by $x^m\cdot x^n=x^{m+n},$ then
\begin{array}{l}\require{cancel}
x^{1/5}\cdot x^{2/5}
\\\\=
x^{\frac{1}{5}+\frac{2}{5}}
\\\\=
x^{\frac{3}{5}}
\\\\=
x^{3/5}
.\end{array}
Hence, $\text{
Choice A
.}$