Question

What integer is equivalent to 9^3/2

Answer 1

Answer:

Answer: 27

Step-by-step explanation:

${ \tt{ {9}^{ \frac{3}{2} } }}$

» Let's split 9 into indices of 3

${ \tt{ \dashrightarrow \: (3 \times 3) {}^{ \frac{3}{2} } }} \\ = { \tt{( {3}^{ \blue{2}}) {}^{ \frac{3}{ \blue{2} } }} }$

» The 2 cancels

${ \tt{ = {3}^{3} }} \\ = 27$