Answer
$x\sqrt[4] 2$
Work Step by Step
$\frac{\sqrt[4] 32x^{5}}{\sqrt[4] 16x}=\sqrt[4] \frac{32x^{5}}{16x}=\sqrt[4] 2x^{4}= \sqrt[4] (x^{4}\times2)=\sqrt[4] x^{4}\times\sqrt[4] 2=x\sqrt[4] 2 $
We know that $\sqrt[4] x^{4}=x$, because $(x)^{4}=x^{4}$.
