Directions : What value will come in place of the question mark (?) in the given questions?
${{27}^{1.5}}\times {{27}^{3.5}}={{27}^{?}}$
Solution
$\begin{align} & {{27}^{?}}={{27}^{1.5}}\times {{27}^{3.5}} \\ & \Rightarrow {{27}^{?}}={{27}^{1.5+3.5}} \\ & \Rightarrow {{27}^{?}}={{27}^{1.5+3.5}} \\ & \Rightarrow {{27}^{?}}={{27}^{5}}\Rightarrow ?=5 \\ & \Rightarrow ?=5 \\ \end{align}$