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\left(-4\right)^{12}-3^{3}
To multiply powers of the same base, add their exponents. Add 5 and 7 to get 12.
16777216-3^{3}
Calculate -4 to the power of 12 and get 16777216.
16777216-27
Calculate 3 to the power of 3 and get 27.
16777189
Subtract 27 from 16777216 to get 16777189.