Question

Simplify :
$\left(\frac{{\left(5\right)}^{-1}\times {\left(7\right)}^2}{{\left(5\right)}^2\times {\left(7\right)}^{-4}}\right)\times \left(\frac{{\left(5\right)}^{-2}\times {\left(7\right)}^3}{{\left(5\right)}^3\times {\left(7\right)}^{-5}}\right)$

Answer 1

$=\frac{5^{-1}\times 7^2}{5^2\times 7^{-4}}\times \frac{5^{-2}\times 7^3}{5^3\times 7^{-5}}=5^{-1-2-2-3}\times 7^{2+3+4+5}=5^{-8}\times 7^{14}$