Question

Simplify
${\left(\frac{6}{5}\right)}^5÷{\left(\frac{3}{5}\right)}^5$

Answer 1

$\begin{array}{c}{\left(\frac{6}{5}\right)}^5÷{\left(\frac{3}{5}\right)}^5\\ \Rightarrow {\left(\frac{6}{5}\right)}^5\times {\left(\frac{5}{3}\right)}^5\\ \Rightarrow \frac{{\left(2\times 3\right)}^5}{5^5}\times \frac{5^5}{3^5}\\ \Rightarrow \frac{2^5\times 3^5}{5^5}\times \frac{5^5}{3^5}\\ \Rightarrow 2^5=32\end{array}$