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\frac{1}{\left(-3\right)^{2}}
Rewrite \left(-3\right)^{5} as \left(-3\right)^{3}\left(-3\right)^{2}. Cancel out \left(-3\right)^{3} in both numerator and denominator.
\frac{1}{9}
Calculate -3 to the power of 2 and get 9.