Answer:
Answer: 27
Step-by-step explanation:
[tex]{ \tt{ {9}^{ \frac{3}{2} } }}[/tex]
» Let's split 9 into indices of 3
[tex]{ \tt{ \dashrightarrow \: (3 \times 3) {}^{ \frac{3}{2} } }} \\ = { \tt{( {3}^{ \blue{2}}) {}^{ \frac{3}{ \blue{2} } }} } \\ [/tex]
» The 2 cancels
[tex]{ \tt{ = {3}^{3} }} \\ = 27[/tex]