Question

Evaluate :
$\left[\right(\frac{-5}{6}{)}^2{]}^2÷(\frac{-5}{6}{)}^2$

Answer 1

${\left[{\left(\frac{-5}{6}\right)}^2\right]}^2÷{\left(\frac{-5}{6}\right)}^2$

$\Rightarrow {\left(\frac{-5}{6}\right)}^{2\times 2}÷{\left(\frac{-5}{6}\right)}^2$

$\Rightarrow {\left(\frac{-5}{6}\right)}^4÷{\left(\frac{-5}{6}\right)}^2$

$\Rightarrow {\left(\frac{-5}{6}\right)}^{4-2}\Rightarrow {\left(\frac{-5}{6}\right)}^2$

$\Rightarrow \frac{25}{36}$