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\frac{2^{8}}{\left(-2\right)^{3}}
To multiply powers of the same base, add their exponents. Add 1 and 7 to get 8.
\frac{256}{\left(-2\right)^{3}}
Calculate 2 to the power of 8 and get 256.
\frac{256}{-8}
Calculate -2 to the power of 3 and get -8.
-32
Divide 256 by -8 to get -32.