Answer
21
Work Step by Step
The quotient rule holds that $\frac{\sqrt[n] a}{\sqrt[n] b}=\sqrt[n] (\frac{a}{b})$ (where $\sqrt[n] a$ and $\sqrt[n] b$ are real numbers and $\sqrt[n] b$ is nonzero).
Therefore, $\frac{7\sqrt[4] 162}{\sqrt[4] 2}=7\sqrt[4] (\frac{162}{2})=7\sqrt[4] 81=7\times3=21$
We know that $\sqrt[4] 81=3$, because $3^{4}=81$
