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2-2^{-1}+2^{0}
Calculate 2 to the power of 1 and get 2.
2-\frac{1}{2}+2^{0}
Calculate 2 to the power of -1 and get \frac{1}{2}.
\frac{3}{2}+2^{0}
Subtract \frac{1}{2} from 2 to get \frac{3}{2}.
\frac{3}{2}+1
Calculate 2 to the power of 0 and get 1.
\frac{5}{2}
Add \frac{3}{2} and 1 to get \frac{5}{2}.