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\frac{\frac{1}{125}}{-9^{-1}}
Calculate 5 to the power of -3 and get \frac{1}{125}.
\frac{\frac{1}{125}}{-\frac{1}{9}}
Calculate 9 to the power of -1 and get \frac{1}{9}.
\frac{1}{125}\left(-9\right)
Divide \frac{1}{125} by -\frac{1}{9} by multiplying \frac{1}{125} by the reciprocal of -\frac{1}{9}.
-\frac{9}{125}
Multiply \frac{1}{125} and -9 to get -\frac{9}{125}.