Question

Answer to this problem

Answer 1

Recall that one of the laws of exponebt states that
$\sqrt[n]{x^m} =x^{ \frac{m}{n} }$

Thus,
$\sqrt[4]{ \frac{x^{24}y^{20}}{81} } = \frac{x^{ \frac{24}{4}} y^{ \frac{20}{4}}}{ \sqrt[4]{81} }} = \frac{x^6y^5}{3}$