Question

What integer is equivalent to 9^3/2

Answer 1

Answer: 27

Explanation:

`{ \tt{ {9}^{ (3)/(2) } }}`

» Let's split 9 into indices of 3

`{ \tt{ \dashrightarrow \: (3 * 3) {}^{ (3)/(2) } }} \\ = { \tt{( {3}^{ \blue{2}}) {}^{ \frac{3}{ \blue{2} } }} } \\`

» The 2 cancels

`{ \tt{ = {3}^(3) }} \\ = 27`