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\frac{1}{\left(-3\right)^{10}}
Rewrite \left(-3\right)^{4} as \left(-3\right)^{-6}\left(-3\right)^{10}. Cancel out \left(-3\right)^{-6} in both numerator and denominator.
\frac{1}{59049}
Calculate -3 to the power of 10 and get 59049.