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\left(\frac{3}{2}\left(-2\right)\right)^{-3}
Divide \frac{3}{2} by -\frac{1}{2} by multiplying \frac{3}{2} by the reciprocal of -\frac{1}{2}.
\left(-3\right)^{-3}
Multiply \frac{3}{2} and -2 to get -3.
-\frac{1}{27}
Calculate -3 to the power of -3 and get -\frac{1}{27}.