Answer
$\sqrt[4] ab$
Work Step by Step
Simplify. $\dfrac{\sqrt [4]{a^3b^3}}{\sqrt {ab}}$
Since, $\sqrt[n] {p^m}=p^{\frac{m}{n}}$
Thus,
$\dfrac{\sqrt [4]{a^3b^3}}{\sqrt {ab}}=\dfrac{(a^3b^3)^{\frac{1}{4}}}{(ab)^{\frac{1}{2}}}=(ab)^{\frac{3}{4}-\frac{1}{2}}$
or, $=(ab)^{\frac{1}{4}}$
or, $=\sqrt[4] ab$
