Answer
$\frac{y\sqrt[4]{3 y}}{2x^5}$.
Work Step by Step
$=\sqrt[4]{\frac{3y^5}{16x^{20}}}$
Use quotient rule.
$=\frac{\sqrt[4]{3y^5}}{\sqrt[4]{16x^{20}}}$
$=\frac{\sqrt[4]{3y^4\cdot y}}{\sqrt[4]{2^4(x^{5})^4}}$
Use product rule.
$=\frac{\sqrt[4]{y^4}\sqrt[4]{3 y}}{\sqrt[4]{2^4(x^{5})^4}}$
Simplify.
$=\frac{y\sqrt[4]{3 y}}{2x^5}$.
