Answer
$x^2y$
Work Step by Step
Use $x^{10}=(x^2)^5$.
$\sqrt[5]{x^{10}y^{5}}=\sqrt[5]{(x^2)^5(y^5)}$
Separate using the rule $\sqrt[n]{a\cdot b}=\sqrt[n]{a} \cdot \sqrt[n]{b}, a,b>0$ to obtain:
$=\sqrt[5]{(x^2)^5}\sqrt[5]{y^5}$
Simplify.
$=x^2y$
Hence, the correct answer is $x^2y$.
