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\left(-2\right)^{5}\left(-2\right)^{3}
To multiply powers of the same base, add their exponents. Add 1 and 4 to get 5.
\left(-2\right)^{8}
To multiply powers of the same base, add their exponents. Add 5 and 3 to get 8.
256
Calculate -2 to the power of 8 and get 256.