Answer:
[tex] {2}^{3} \times \sqrt{2} \\ = {2}^{3} \times {2}^{ \frac{1}{2} } \\ = {2}^{(3 + \frac{1}{2})} \\ = {2}^{ \frac{(6 + 1)}{2} } \\ = {2}^{( \frac{7}{2}) } \\ = \boxed{ {2}^{(3.5)} }✓[/tex]