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\frac{1}{4}-\left(\pi -1\right)^{0}+\left(-1\right)^{4}
Calculate 2 to the power of -2 and get \frac{1}{4}.
\frac{1}{4}-1+\left(-1\right)^{4}
Calculate \pi -1 to the power of 0 and get 1.
-\frac{3}{4}+\left(-1\right)^{4}
Subtract 1 from \frac{1}{4} to get -\frac{3}{4}.
-\frac{3}{4}+1
Calculate -1 to the power of 4 and get 1.
\frac{1}{4}
Add -\frac{3}{4} and 1 to get \frac{1}{4}.