Simplify the radical. Assume that all variables represent positive real numbers
-$\sqrt[4]{\frac{6 y^{7}}{7776 y^{3}}}$

A) $\frac{y}{6}$

B) $6 y$

C) $\frac{y^{2}}{36}$

D) $\frac{\mathrm{y}}{\sqrt[4]{216}}$

Question

Simplify the radical. Assume that all variables represent positive real numbers
-$\sqrt[4]{\frac{6 y^{7}}{7776 y^{3}}}$

A) $\frac{y}{6}$

B) $6 y$

C) $\frac{y^{2}}{36}$

D) $\frac{\mathrm{y}}{\sqrt[4]{216}}$

Quizplus · Accepted Answer

The expression simplifies to $\sqrt[4]{\frac{6 y^{7}}{7776 y^{3}}} = \sqrt[4]{\frac{y^{4}}{1296}}$. This further simplifies to $\frac{y}{6}$.

Simplify the Radical 6y77776y34\sqrt[4]{\frac{6 y^{7}}{7776 y^{3}}}47776y36y7​​ A) y6\frac{y}{6}6y​ B) 6y6 y6y C) y236\frac{y^{2}}{36}36y2​ D) y2164\frac{\mathrm{y}}{\sqrt[4]{216}}4216​y​