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|2-\frac{1}{2}|
Calculate 4 to the power of -\frac{1}{2} and get \frac{1}{2}.
|\frac{3}{2}|
Subtract \frac{1}{2} from 2 to get \frac{3}{2}.
\frac{3}{2}
The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{3}{2} is \frac{3}{2}.