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\left(-1\right)^{3}-\left(-1\right)^{9}-1
To multiply powers of the same base, add their exponents. Add 5 and 4 to get 9.
-1-\left(-1\right)^{9}-1
Calculate -1 to the power of 3 and get -1.
-1-\left(-1\right)-1
Calculate -1 to the power of 9 and get -1.
-1+1-1
The opposite of -1 is 1.
0-1
Add -1 and 1 to get 0.
-1
Subtract 1 from 0 to get -1.