Question

\(\frac{2^{11}\cdot^{9^{2}}}{3^{5}\cdot16^{2}}\)

Answer 1

\(\dfrac{2^{11}.9^2}{3^5.16^2}=\dfrac{2^{11}.3^4}{3^5.2^8}=\dfrac{2^3}{3}=\dfrac{8}{3}\)

Answer 2

\(\dfrac{2^{11}\cdot9^2}{3^5\cdot16^2}\\ =\dfrac{2^{11}\cdot\left(3^2\right)^2}{3^5\cdot\left(2^4\right)^2}\\ =\dfrac{2^{11}\cdot3^4}{3^5\cdot2^8}\\ =\dfrac{2^3}{3}\\ =\dfrac{8}{3}\)