Question

2^15*9^3/6^7*4^4

Answer 1

\(\dfrac{2^{15}\cdot9^3}{6^7\cdot4^4}=\dfrac{2^{15}\cdot\left(3^2\right)^3}{\left(2\cdot3\right)^7\cdot\left(2^2\right)^4}=\dfrac{2^{15}\cdot3^6}{2^7\cdot3^7\cdot2^8}=\dfrac{2^{15}\cdot3^6}{\left(2^7\cdot2^8\right)\cdot3^7}=\dfrac{2^{15}\cdot3^6}{2^{15}\cdot3^7}=\dfrac{3^6}{3^7}=3^6:3^7=3^{\left(6-7\right)}=3^{-1}=\dfrac{1}{3}\)

Answer 2

\(=\dfrac{2^{15}\cdot3^6}{2^7\cdot2^8\cdot3^7}=\dfrac{1}{3}\)