Algebra Examples

${({(m)}^{\frac{1}{3}})}^{\frac{1}{4}}$

Step 1

Remove parentheses.

${(m^{\frac{1}{3}})}^{\frac{1}{4}}$

Step 2

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

${\sqrt[3]{m^{1}}}^{\frac{1}{4}}$

Step 3

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

$\sqrt[4]{{\sqrt[3]{m^{1}}}^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt[4]{{\sqrt[3]{m}}^{1}}$

Step 5

Anything raised to $1$ is the base itself.

$\sqrt[4]{\sqrt[3]{m}}$