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\left(-4\right)^{3}+4^{3}+4+2
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
-64+4^{3}+4+2
Calculate -4 to the power of 3 and get -64.
-64+64+4+2
Calculate 4 to the power of 3 and get 64.
4+2
Add -64 and 64 to get 0.
6
Add 4 and 2 to get 6.