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3\times 1024-2\times 4^{3}+6
Calculate 4 to the power of 5 and get 1024.
3072-2\times 4^{3}+6
Multiply 3 and 1024 to get 3072.
3072-2\times 64+6
Calculate 4 to the power of 3 and get 64.
3072-128+6
Multiply 2 and 64 to get 128.
2944+6
Subtract 128 from 3072 to get 2944.
2950
Add 2944 and 6 to get 2950.