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-\frac{1}{64}\times 5^{-3}\left(-5\right)^{-3}
Calculate -4 to the power of -3 and get -\frac{1}{64}.
-\frac{1}{64}\times \frac{1}{125}\left(-5\right)^{-3}
Calculate 5 to the power of -3 and get \frac{1}{125}.
-\frac{1}{8000}\left(-5\right)^{-3}
Multiply -\frac{1}{64} and \frac{1}{125} to get -\frac{1}{8000}.
-\frac{1}{8000}\left(-\frac{1}{125}\right)
Calculate -5 to the power of -3 and get -\frac{1}{125}.
\frac{1}{1000000}
Multiply -\frac{1}{8000} and -\frac{1}{125} to get \frac{1}{1000000}.