Answer
$x^2y$
Work Step by Step
Simplify the radicand (expression inside the radical sign) to obtain:
$$
\sqrt[4]{\frac{x^{9}y^7}{xy^3}}=\sqrt[4]{x^8y^4}$$
Use the rule $\sqrt[n]{a^n}=a, a\gt0$ to obtain:
$$\sqrt[4]{x^8y^4}=\sqrt[4]{(x^2y)^4}=x^2y
$$
