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\left(-2\right)^{8}\left(-2\right)^{2}
To multiply powers of the same base, add their exponents. Add 3 and 5 to get 8.
\left(-2\right)^{10}
To multiply powers of the same base, add their exponents. Add 8 and 2 to get 10.
1024
Calculate -2 to the power of 10 and get 1024.