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\left(-2\right)^{-1}\left(-2\right)^{4}
To multiply powers of the same base, add their exponents. Add 2 and -3 to get -1.
\left(-2\right)^{3}
To multiply powers of the same base, add their exponents. Add -1 and 4 to get 3.
-8
Calculate -2 to the power of 3 and get -8.