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\frac{1}{8}-\left(\frac{3}{4}\right)^{-2}
Calculate \frac{1}{2} to the power of 3 and get \frac{1}{8}.
\frac{1}{8}-\frac{16}{9}
Calculate \frac{3}{4} to the power of -2 and get \frac{16}{9}.
-\frac{119}{72}
Subtract \frac{16}{9} from \frac{1}{8} to get -\frac{119}{72}.