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\frac{\left(-4^{2}\right)^{3}}{4^{5}}
To multiply powers of the same base, add their exponents. Add 3 and 2 to get 5.
\frac{\left(-16\right)^{3}}{4^{5}}
Calculate 4 to the power of 2 and get 16.
\frac{-4096}{4^{5}}
Calculate -16 to the power of 3 and get -4096.
\frac{-4096}{1024}
Calculate 4 to the power of 5 and get 1024.
-4
Divide -4096 by 1024 to get -4.