Question Simplify $\frac{x^{-3}}{x^{2}}$. Express $\log x^{3} - \log y^{2}$ as a single $\log$ expression.

Studdy Solution
Combine the results from STEP_6 and STEP_9 to provide the final simplified expressions.
The simplified expression for $\frac{x^{-3}}{x^{2}}$ is $\frac{1}{x^{5}}$.
The expression $\log x^{3} - \log y^{2}$ as a single $\log$ expression is $\log \left(\frac{x^{3}}{y^{2}}\right)$.