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\left(-\frac{1}{2}+\frac{3}{4}\right)^{-2}\times \left(\frac{2}{3}\right)^{-1}
Subtract \frac{3}{2} from 1 to get -\frac{1}{2}.
\left(\frac{1}{4}\right)^{-2}\times \left(\frac{2}{3}\right)^{-1}
Add -\frac{1}{2} and \frac{3}{4} to get \frac{1}{4}.
16\times \left(\frac{2}{3}\right)^{-1}
Calculate \frac{1}{4} to the power of -2 and get 16.
16\times \frac{3}{2}
Calculate \frac{2}{3} to the power of -1 and get \frac{3}{2}.
24
Multiply 16 and \frac{3}{2} to get 24.