Question
Evaluate: $\left(-\frac{3}{4}\right)^3 \times\left(\frac{2}{3}\right)^4$

Answer


$\begin{aligned} & \left(-\frac{3}{4}\right)^3 \times\left(\frac{2}{3}\right)^4 \\ & =\left(-\frac{3}{4}\right) \times\left(-\frac{3}{4}\right) \times\left(-\frac{3}{4}\right) \times\left(\frac{2}{3}\right) \times\left(\frac{2}{3}\right) \times\left(\frac{2}{3}\right) \times\left(\frac{2}{3}\right)\end{aligned}$
$=\frac{-27}{64} \times \frac{16}{81}=-\frac{1}{2}$

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