Question

Answer 1

\(\dfrac{9^2\cdot2^{11}}{16^2\cdot6^3}\\ =\dfrac{\left(3^2\right)^2\cdot2^{11}}{\left(2^4\right)^2\cdot2^3\cdot3^3}\\ =\dfrac{3^4\cdot2^{11}}{2^8\cdot2^3\cdot3^3}\\ =\dfrac{3^4\cdot2^{11}}{3^3\cdot2^{11}}\\ =3\)

Answer 2

\(\dfrac{\left(3^2\right)^2x2^{11}}{\left(2^4\right)^2x\left(2x3\right)^3}\) = \(\dfrac{3^4x2^{11}}{2^8x2^3x3^3}\) = \(\dfrac{3^4x2^{11}}{2^{11}x3^3}\) = \(\dfrac{3^1x1}{1x1}\) = \(\dfrac{3}{1}\) = 3