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\left(-2\right)^{4}\left(-2\right)^{3}
To raise a power to another power, multiply the exponents. Multiply 1 and 4 to get 4.
\left(-2\right)^{7}
To multiply powers of the same base, add their exponents. Add 4 and 3 to get 7.
-128
Calculate -2 to the power of 7 and get -128.