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\left(\left(-5\right)^{-6}\right)^{-1}
To raise a power to another power, multiply the exponents. Multiply -3 and 2 to get -6.
\left(\frac{1}{15625}\right)^{-1}
Calculate -5 to the power of -6 and get \frac{1}{15625}.
15625
Calculate \frac{1}{15625} to the power of -1 and get 15625.