\(\dfrac{9^3.6^2}{2^3.3^5}=\dfrac{3^6.2^2.3^2}{2^3.3^5}==\dfrac{3^8.2^2}{2^3.3^5}=\dfrac{3^3}{2}=\dfrac{27}{2}\)
\(\dfrac{9^3\cdot6^2}{2^3\cdot3^5}=\dfrac{3^6\cdot3^2\cdot2^2}{2^3\cdot3^5}=3^3\cdot\dfrac{1}{2}=\dfrac{27}{2}\)
\(\dfrac{9^3.6^2}{2^3.3^5}=\dfrac{3^6.2^2.3^2}{2^3.3^5}=\dfrac{3.1.3^2}{2.1}=\dfrac{3^3}{2}=\dfrac{27}{2}\)