Precalculus Examples

$\log (x^{- 5} y^{- 3})$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\log (\frac{1}{x^{5}} y^{- 3})$

Step 2

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\log (\frac{1}{x^{5}} \cdot \frac{1}{y^{3}})$

Step 3

Combine.

$\log (\frac{1 \cdot 1}{x^{5} y^{3}})$

Step 4

Multiply $1$ by $1$ .

$\log (\frac{1}{x^{5} y^{3}})$