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2^{3}-2^{2+2}
Add 1 and 2 to get 3.
8-2^{2+2}
Calculate 2 to the power of 3 and get 8.
8-2^{4}
Add 2 and 2 to get 4.
8-16
Calculate 2 to the power of 4 and get 16.
-8
Subtract 16 from 8 to get -8.