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1+\left(\frac{1}{2}\right)^{-1}-\frac{5}{\left(2006+\pi \right)^{0}}
Calculate -1 to the power of 2 and get 1.
1+2-\frac{5}{\left(2006+\pi \right)^{0}}
Calculate \frac{1}{2} to the power of -1 and get 2.
3-\frac{5}{\left(2006+\pi \right)^{0}}
Add 1 and 2 to get 3.
3-\frac{5}{1}
Calculate 2006+\pi to the power of 0 and get 1.
3-5
Anything divided by one gives itself.
-2
Subtract 5 from 3 to get -2.