Simplify fifth root of y^2125 root of y^20

$\sqrt[5]{y^{2} \cdot 1} \sqrt[25]{y^{2} \cdot 0}$

Step 1

Multiply.

Multiply $y^{2}$ by $1$ .

$\sqrt[5]{y^{2}} \sqrt[25]{y^{2} \cdot 0}$

Multiply $y^{2}$ by $0$ .

$\sqrt[5]{y^{2}} \sqrt[25]{0}$

Step 2

Rewrite $0$ as $0^{25}$ .

$\sqrt[5]{y^{2}} \sqrt[25]{0^{25}}$

Step 3

Multiply by zero.

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

$\sqrt[5]{y^{2}} \cdot 0$

Multiply $\sqrt[5]{y^{2}}$ by $0$ .

$0$

Simplify fifth root of y^2*125 root of y^2*0