Algebra Examples

$6^{\frac{1}{4}} b^{\frac{3}{4}} c^{\frac{1}{4}}$

Step 1

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

$\sqrt[4]{6^{1}} b^{\frac{3}{4}} c^{\frac{1}{4}}$

Step 2

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

$\sqrt[4]{6^{1}} \sqrt[4]{b^{3}} c^{\frac{1}{4}}$

Step 3

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

$\sqrt[4]{6^{1}} \sqrt[4]{b^{3}} \sqrt[4]{c^{1}}$

Step 4

Anything raised to $1$ is the base itself.

$\sqrt[4]{6} \sqrt[4]{b^{3}} \sqrt[4]{c^{1}}$

Step 5

Anything raised to $1$ is the base itself.

$\sqrt[4]{6} \sqrt[4]{b^{3}} \sqrt[4]{c}$