Answer
$\frac{x\sqrt{x}}{10y^2}$.
Work Step by Step
$=\sqrt{\frac{x^3}{100y^4}}$
Use quotient rule.
$=\frac{\sqrt{x^3}}{\sqrt{100y^4}}$
$=\frac{\sqrt{x^2\cdot x}}{\sqrt{10^2y^4}}$
Use product rule.
$=\frac{\sqrt{x^2}\sqrt{x}}{\sqrt{10^2y^4}}$
Simplify.
$=\frac{x\sqrt{x}}{10y^2}$.
