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\frac{1}{\left(-7\right)^{3}}
Rewrite \left(-7\right)^{-5} as \left(-7\right)^{-8}\left(-7\right)^{3}. Cancel out \left(-7\right)^{-8} in both numerator and denominator.
\frac{1}{-343}
Calculate -7 to the power of 3 and get -343.
-\frac{1}{343}
Fraction \frac{1}{-343} can be rewritten as -\frac{1}{343} by extracting the negative sign.