Answer
$x^2y$
Work Step by Step
RECALL:
The quotient rule:
$\dfrac{\sqrt[n]{a}}{\sqrt[n]{b}}=\sqrt[n]{\dfrac{a}{b}}$
where
$\sqrt[n]{a}$ and $\sqrt[n]{b}$ are real numbers and $b\ne0$
Use the rule above to obtain:
$\require{cancel}=\sqrt{\dfrac{x^5y^3}{xy}}
\\=\sqrt{\dfrac{x^4\cancel{x^5}\cancel{y^3}y^2}{\cancel{xy}}}
\\=\sqrt{x^4y^2}
\\=\sqrt{(x^2y)^2}$
Simplify to obtain:
$=x^2y$
