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 \(\boxed{-3 \cdot \log_3(a)}\).