Precalculus Examples

$(\ln (c^{3})) (\ln ({(\frac{a}{b^{- 1}})}^{2}))$

Step 1

Move $b^{- 1}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

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

Step 2

Apply the product rule to $a b$ .

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