Evaluate: (3 5 )^2 (-2 3 )^3 - Vidyadip

Question

Evaluate: $\left(\frac{3}{5}\right)^2 \times\left(-\frac{2}{3}\right)^3$

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Answer

$\begin{aligned} & \left(\frac{3}{5}\right)^2 \times\left(-\frac{2}{3}\right)^3 \\ & =\left(\frac{3}{5}\right) \times\left(\frac{3}{5}\right) \times\left(-\frac{2}{3}\right) \times\left(-\frac{2}{3}\right) \times\left(-\frac{2}{3}\right) \\ & =\frac{9}{25} \times\left(\frac{-8}{27}\right) \\ & =-\frac{8}{75}\end{aligned}$

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