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\frac{1}{4}-\frac{3^{2}}{\left(3.144+\pi \right)^{0}}
Calculate -2 to the power of -2 and get \frac{1}{4}.
\frac{1}{4}-\frac{9}{\left(3.144+\pi \right)^{0}}
Calculate 3 to the power of 2 and get 9.
\frac{1}{4}-\frac{9}{1}
Calculate 3.144+\pi to the power of 0 and get 1.
\frac{1}{4}-9
Anything divided by one gives itself.
-\frac{35}{4}
Subtract 9 from \frac{1}{4} to get -\frac{35}{4}.