Question

Answer 1

\(\left(\dfrac{25^2}{243}\right)^{10}:\left(\dfrac{125^2}{5^4.9}\right)^{15}\)

\(=\left(\dfrac{\left(5^2\right)^2}{3^5}\right)^{10}:\left(\dfrac{\left(5^3\right)^2}{5^4.3^2}\right)^{15}\)

\(=\dfrac{5^{40}}{3^{50}}:\dfrac{5^{30}}{3^{30}}=\dfrac{5^{40}}{3^{50}}.\dfrac{3^{30}}{5^{30}}=\dfrac{5^{10}}{3^{20}}\)