Algebra Examples

$\frac{{(12)}^{\frac{3}{4}}}{{(4)}^{\frac{1}{4}}}$

Step 1

Remove parentheses.

$\frac{12^{\frac{3}{4}}}{4^{\frac{1}{4}}}$

Step 2

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

$\frac{\sqrt[4]{12^{3}}}{4^{\frac{1}{4}}}$

Step 3

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

$\frac{\sqrt[4]{12^{3}}}{\sqrt[4]{4^{1}}}$

Step 4

Anything raised to $1$ is the base itself.

$\frac{\sqrt[4]{12^{3}}}{\sqrt[4]{4}}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{\sqrt[4]{12^{3}}}{\sqrt[4]{4}}$

Decimal Form:

$4.55901411 \dots$