Question

Answer 1

\(...=\dfrac{\left(3^4\right)^{20}.\left(5^2\right)^{55}}{\left(5^3\right)^{36}.\left(3^2\right)^{40}}=\dfrac{3^{80}.5^{110}}{5^{108}.3^{80}}=5^{110-108}=5^2=25\)

Answer 2

\(\dfrac{81^{20}.25^{55}}{125^{36}.9^{40}}=\dfrac{\left(3^4\right)^{20}.\left(5^2\right)^{55}}{\left(5^3\right)^{36}.\left(3^2\right)^{40}}=\dfrac{3^{80}.5^{110}}{5^{108}3^{80}}=5^2=25\)