Algebra Examples

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

Step 1

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

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

Step 2

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

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

Step 3

Anything raised to $1$ is the base itself.

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

Step 4

Anything raised to $1$ is the base itself.

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