Convert to Radical Form x^(1/3)y^(1/6)

$x^{\frac{1}{3}} y^{\frac{1}{6}}$

Step 1

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt[3]{x^{1}} y^{\frac{1}{6}}$

Step 2

Apply the rule $x^{\frac{m}{n}} = \sqrt[n]{x^{m}}$ to rewrite the exponentiation as a radical.

$\sqrt[3]{x^{1}} \sqrt[6]{y^{1}}$

Step 3

Anything raised to $1$ is the base itself.

$\sqrt[3]{x} \sqrt[6]{y^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt[3]{x} \sqrt[6]{y}$