Question

\(\frac{2^{11}.9^2}{3^5.16^2}\)

Answer 1

\(\frac{2^{11}\cdot9^2}{3^5\cdot16^2}\)

\(=\frac{2^{11}\cdot3^4}{3^5\cdot2^8}\)

\(=\frac{2^3}{3}\)

\(=\frac{8}{3}\)

Answer 2

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