\(2^{15}.\dfrac{9^2}{6^5.8^3}=2^{15}\dfrac{3^4}{2^5.3^5.2^9}=2.\dfrac{1}{3}=\dfrac{2}{3}\)
\(\dfrac{2^{15}.9^2}{6^5.8^3}\)
\(=\dfrac{2^{15}.\left(3^2\right)^2}{\left(2.3\right)^5.\left(2^3\right)^3}\)
\(=\dfrac{2^{15}.3^4}{2^5.3^5.2^9}\)
\(=\dfrac{2^{15}.3^4}{2^{14}.3^5}=\dfrac{2}{3}\)