Question

Evalute:
${(-\frac{5}{6})}^5$

Answer 1

Step:Finding the value of given expression

Given,${(-\frac{5}{6})}^5$

it can be written as:
${(-\frac{5}{6})}^5$
$=(-\frac{5}{6})\times (-\frac{5}{6})\times (-\frac{5}{6})\times (-\frac{5}{6})\times (-\frac{5}{6})$

on further calculation ,we have:


${(-\frac{5}{6})}^5=\frac{\left[\right(-5)\times (-5)\times (-5)\times (-5)\times (-5\left)\right]}{6\times 6\times 6\times 6\times 6}$

$=-\frac{3125}{7776}$

Hence ,${(-\frac{5}{6})}^5=-\frac{3125}{7776}$