Question

Express the following in exponential form :
${\left(\frac{5}{6}\right)}^2$

Answer 1

${\left(\frac{5}{6}\right)}^2={\left(\frac{6-1}{6}\right)}^2={(1-\frac{1}{6})}^2$

=$1+{\left(\frac{1}{6}\right)}^2-\frac{2}{6}$

$=1+\frac{1}{6^2}-\frac{1}{3}$

${\left(\frac{5}{6}\right)}^2=$$1+6^{-2}-3^{-1}$