Precalculus Examples

$\ln (\frac{\sqrt{a b^{6}}}{c})$

Step 1

Rewrite $a b^{6}$ as ${(b^{3})}^{2} a$ .

Tap for more steps...

Step 1.1

Rewrite $b^{6}$ as ${(b^{3})}^{2}$ .

$\ln (\frac{\sqrt{a {(b^{3})}^{2}}}{c})$

Step 1.2

Reorder $a$ and ${(b^{3})}^{2}$ .

$\ln (\frac{\sqrt{{(b^{3})}^{2} a}}{c})$

$\ln (\frac{\sqrt{{(b^{3})}^{2} a}}{c})$

Step 2

Pull terms out from under the radical.

$\ln (\frac{b^{3} \sqrt{a}}{c})$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$