Simplify fourth root of 256x^8y^16

$\sqrt[4]{256 x^{8} y^{16}}$

Step 1

Rewrite $256 x^{8} y^{16}$ as ${(4 x^{2} y^{4})}^{4}$ .

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

Step 2

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

$4 x^{2} y^{4}$

Related Questions