Question

Simpify and express following as a rational number :
i)${\left(\frac{6}{5}\right)}^3\times {\left(\frac{5}{2}\right)}^2$

Answer 1

A rational number is expressed as $\frac{p}{q}$ form.

$(\frac{6}{5}{)}^3\times (\frac{5}{2}{)}^2=(\frac{2^3{.3}^3{.5}^2}{5^3{.2}^2})$

$=(\frac{{2.3}^3}{5})=\frac{54}{5}$