#### Answer

$\frac{\sqrt[4] 16}{\sqrt 4}=\frac{2}{2}=1$

#### Work Step by Step

We are given that $\frac{\sqrt[4] 16}{\sqrt 4}=\sqrt[4] \frac{16}{4}=\sqrt[4] 4$. This simplification incorrectly uses the quotient rule. In general, we can only use the quotient rule when both radicals have the same index. In this case, we must simplify without using the quotient rule, since each radical has a different index.
$\frac{\sqrt[4] 16}{\sqrt 4}=\frac{2}{2}=1$
We know that $\sqrt[4] 16=2$, because $2^{4}=16$. We also know that $\sqrt 4=2$, because $2^{2}=4$.