Evaluate: (-5 6 )^5 - Vidyadip

Question

Evaluate: $\left(-\frac{5}{6}\right)^5$

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Answer

$\begin{aligned} & \left(-\frac{5}{6}\right)^5 \\ & =\left(\frac{-5}{6}\right) \times\left(\frac{-5}{6}\right) \times\left(\frac{-5}{6}\right) \times\left(\frac{-5}{6}\right) \times\left(\frac{-5}{6}\right) \\ & =\frac{(-5) \times(-5) \times(-5) \times(-5) \times(-5)}{6 \times 6 \times 6 \times 6 \times 6} \\ & =-\frac{3125}{776}\end{aligned}$

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