Answer
$16x^{1/2}$
Work Step by Step
Using laws of exponents, then,
\begin{array}{l}
\dfrac{(2x^{1/5})^{4}}{x^{3/10}}
\\\\=
\dfrac{2^4x^{\frac{1}{5}\cdot4}}{x^{\frac{3}{10}}}
\\\\=
\dfrac{16x^{\frac{4}{5}}}{x^{\frac{3}{10}}}
\\\\=
16x^{\frac{4}{5}-\frac{3}{10}}
\\\\=
16x^{\frac{8}{10}-\frac{3}{10}}
\\\\=
16x^{\frac{5}{10}}
\\\\=
16x^{1/2}
.\end{array}
