Simplify fifth root of x^1125 root of x^2*0

$\sqrt[5]{x^{11}} \sqrt[25]{x^{2} \cdot 0}$

Rewrite $x^{11}$ as ${(x^{2})}^{5} x$ .

Factor out $x^{10}$ .

$\sqrt[5]{x^{10} x} \sqrt[25]{x^{2} \cdot 0}$

Rewrite $x^{10}$ as ${(x^{2})}^{5}$ .

$\sqrt[5]{{(x^{2})}^{5} x} \sqrt[25]{x^{2} \cdot 0}$

Pull terms out from under the radical.

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

Write the expression using exponents.

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

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

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

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

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

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

Multiply $x^{2} \sqrt[5]{x} \cdot 0$ .

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

$0 \sqrt[5]{x}$

Multiply $0$ by $\sqrt[5]{x}$ .

$0$