Simplify ( fourth root of x^2)/( cube root of x^3)

$\frac{\sqrt[4]{x^{2}}}{\sqrt[3]{x^{3}}}$

Step 1

Simplify the numerator.

Rewrite $\sqrt[4]{x^{2}}$ as $\sqrt{\sqrt{x^{2}}}$ .

$\frac{\sqrt{\sqrt{x^{2}}}}{\sqrt[3]{x^{3}}}$

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

$\frac{\sqrt{x}}{\sqrt[3]{x^{3}}}$

Step 2

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

$\frac{\sqrt{x}}{x}$