$\begin{array}{l}\text{Here, applying the rules of surds and}\\ \text{indices, we get}\\ \\ {\text{(9)}}^{\text{3/2}}\times {\text{(9)}}^{\text{5/2}}÷{\text{(27)}}^{\text{2}}{\text{= (3)}}^{\text{?}}\\ \\ \Rightarrow {\text{ (3)}}^{\text{2}\times \text{3/2}}\times {\text{(3)}}^{\text{2}\times \text{5/2}}÷{\left(3^3\right)}^{\times 2}{\text{ = (3)}}^{\text{?}}\\ \\ \Rightarrow {\text{ 3}}^{\text{3+ 5}-\text{6}}{\text{ = (3)}}^{\text{?}}\\ \\ \Rightarrow \text{ ? = 2}\end{array}$

Hence Option E is correct.