Simplify 4 fourth root of 4096x^8y^24

$4 \sqrt[4]{4096 x^{8} y^{24}}$

Rewrite $4096 x^{8} y^{24}$ as ${(8 x^{2} y^{6})}^{4}$ .

$4 \sqrt[4]{{(8 x^{2} y^{6})}^{4}}$

Pull terms out from under the radical, assuming positive real numbers.

$4 (8 x^{2} y^{6})$

Multiply $8$ by $4$ .

$32 x^{2} y^{6}$