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\frac{-1}{-\left(-9-\left(-2\right)^{3}\right)}
Add -1 and 1 to get 0.
\frac{-1}{-\left(-9-\left(-8\right)\right)}
Calculate -2 to the power of 3 and get -8.
\frac{-1}{-\left(-9+8\right)}
The opposite of -8 is 8.
\frac{-1}{-\left(-1\right)}
Add -9 and 8 to get -1.
\frac{-1}{1}
The opposite of -1 is 1.
-1
Anything divided by one gives itself.