Use the power property to rewrite each expression. Assume all variables are positive.
\[
\log _{3}\left(a^{-3}\right)=
\]
The answer format in lowercase characters is: $\log _{-}$base (number) Spaces in the answer are optional.

Answer

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Answer

The rewritten expression using the power property of logarithms is $\boxed{-3 \cdot \log_3(a)}$.

Steps

Step 1 ：Use the power property of logarithms which states that $\log_b(a^n) = n \cdot \log_b(a)$.

Step 2 ：Apply this property to the given expression $\log_3(a^{-3})$ to rewrite it as $-3 \cdot \log_3(a)$.

Step 3 ：The rewritten expression using the power property of logarithms is $\boxed{-3 \cdot \log_3(a)}$.