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\frac{9}{4}\times \left(\frac{3}{2}i\right)\sqrt{3}
Calculate -\frac{3}{2} to the power of 2 and get \frac{9}{4}.
\frac{27}{8}i\sqrt{3}
Multiply \frac{9}{4} and \frac{3}{2}i to get \frac{27}{8}i.