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\left(-4\right)^{10}-3^{3}
To multiply powers of the same base, add their exponents. Add 3 and 7 to get 10.
1048576-3^{3}
Calculate -4 to the power of 10 and get 1048576.
1048576-27
Calculate 3 to the power of 3 and get 27.
1048549
Subtract 27 from 1048576 to get 1048549.