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\frac{1}{4}+\left(-2\right)^{-2}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{1}{4}+\frac{1}{4}
Calculate -2 to the power of -2 and get \frac{1}{4}.
\frac{1}{2}
Add \frac{1}{4} and \frac{1}{4} to get \frac{1}{2}.