Precalculus Examples

$\ln (\sqrt[3]{7 r^{6} s})$

Step 1

Rewrite $7 r^{6} s$ as ${(r^{2})}^{3} \cdot (7 s)$ .

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Step 1.1

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

$\ln (\sqrt[3]{7 {(r^{2})}^{3} s})$

Step 1.2

Reorder $7$ and ${(r^{2})}^{3}$ .

$\ln (\sqrt[3]{{(r^{2})}^{3} \cdot 7 s})$

Step 1.3

Add parentheses.

$\ln (\sqrt[3]{{(r^{2})}^{3} \cdot (7 s)})$

Step 2

Pull terms out from under the radical.

$\ln (r^{2} \sqrt[3]{7 s})$