Question

Simplify :
$\frac{{\left(25\right)}^{\frac{3}{2}}\times {\left(243\right)}^{\frac{3}{5}}}{{\left(26\right)}^{\frac{5}{4}}\times {\left(8\right)}^{\frac{4}{3}}}$

Answer 1

$=\frac{{25}^{\frac{3}{2}}\times {\left(243\right)}^{\frac{3}{5}}}{{26}^{\frac{5}{4}}\times 8^{\frac{4}{3}}}=\frac{5^3\times 3^3}{{26}^{\frac{5}{4}}\times 2^4}$