Answer
$\frac{x^2}{y^4}$.
Work Step by Step
The given expression is
$=\sqrt [5]{\frac{x^{10}}{y^{20}}}$
Factor the radicands as a power of $5$.
$=\sqrt [5]{\frac{(x^2)^{5}}{(y^4)^{5}}}$
Use power rule.
$=\sqrt [5]{\left (\frac{x^2}{y^4}\right )^5}$
Simplify.
$=\frac{x^2}{y^4}$.
