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5+\left(\frac{1}{2}\right)^{-1}-2011^{0}
The opposite of -5 is 5.
5+2-2011^{0}
Calculate \frac{1}{2} to the power of -1 and get 2.
7-2011^{0}
Add 5 and 2 to get 7.
7-1
Calculate 2011 to the power of 0 and get 1.
6
Subtract 1 from 7 to get 6.