Answer
$\frac{x\sqrt y}{y^2}$
Work Step by Step
$\frac{\sqrt{x^2}}{\sqrt{y^3}}\longrightarrow$ factor perfect square out of $y^3$
$\frac{\sqrt{x^2}}{\sqrt{y^2\times y}}\longrightarrow$ multiplication property of square roots
$\frac{\sqrt{x^2}}{\sqrt{y^2}\times \sqrt y}\longrightarrow$ simplify
$\frac{x}{y\sqrt{y}}\longrightarrow$ multiply numerator and denominator by $\sqrt y$
$\frac{x}{y\sqrt{y}}\times \frac {\sqrt y}{\sqrt y}\longrightarrow$ simplify, multiplication property of square roots
$\frac{x \sqrt y}{y\sqrt{y^2}}\longrightarrow$ simplify
$\frac{x\sqrt y}{y\times y}\longrightarrow$ simplify
$\frac{x\sqrt y}{y^2}$
