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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)^{5}
To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.
-32
Calculate -2 to the power of 5 and get -32.