Simplify the Radical Expression fourth root of 81x^20y^24

$\sqrt[4]{81 x^{20} y^{24}}$

Rewrite $81 x^{20} y^{24}$ as ${(3 x^{5} y^{6})}^{4}$ .

$\sqrt[4]{{(3 x^{5} y^{6})}^{4}}$

Pull terms out from under the radical.

$| 3 x^{5} y^{6} |$

Remove non-negative terms from the absolute value.

$3 y^{6} | x^{5} |$