Basic Math Examples

$\frac{\sqrt[3]{r^{19}}}{\sqrt[3]{27 s^{12}}}$

Step 1

Simplify the numerator.

Tap for more steps...

Step 1.1

Rewrite $r^{19}$ as ${(r^{6})}^{3} r$ .

Tap for more steps...

Step 1.1.1

Factor out $r^{18}$ .

$\frac{\sqrt[3]{r^{18} r}}{\sqrt[3]{27 s^{12}}}$

Step 1.1.2

Rewrite $r^{18}$ as ${(r^{6})}^{3}$ .

$\frac{\sqrt[3]{{(r^{6})}^{3} r}}{\sqrt[3]{27 s^{12}}}$

Step 1.2

Pull terms out from under the radical.

$\frac{r^{6} \sqrt[3]{r}}{\sqrt[3]{27 s^{12}}}$

Step 2

Simplify the denominator.

Tap for more steps...

Step 2.1

Rewrite $27 s^{12}$ as ${(3 s^{4})}^{3}$ .

$\frac{r^{6} \sqrt[3]{r}}{\sqrt[3]{{(3 s^{4})}^{3}}}$

Step 2.2

Pull terms out from under the radical, assuming real numbers.

$\frac{r^{6} \sqrt[3]{r}}{3 s^{4}}$