Answer
$\dfrac{(2x^{1/5})^{4}}{x^{3/10}}=16x^{1/2}$
Work Step by Step
$\dfrac{(2x^{1/5})^{4}}{x^{3/10}}$
Evaluate the power indicated in the numerator:
$\dfrac{(2x^{1/5})^{4}}{x^{3/10}}=\dfrac{16x^{4/5}}{x^{3/10}}=...$
Evaluate the division:
$...=16x^{4/5-3/10}=16x^{1/2}$