Question

Answer 1

\(=\dfrac{3^{82}\cdot5^{46}\cdot2^{10}}{3^{50}\cdot3^{35}\cdot5^{35}\cdot2^9\cdot5^9}=\dfrac{1}{27}\cdot5\cdot2=\dfrac{10}{27}\)

Answer 2

\(\dfrac{9^{41}.25^{23}.2^{10}}{3^{50}.15^{35}.10^9}=\dfrac{3^{82}.5^{46}.2^{10}}{3^{50}.5^{35}.3^{35}.2^9.5^9}=\dfrac{3.5^2.2}{3^3}=\dfrac{150}{9}=\dfrac{50}{3}\)