Question

How do you simplify `(4/9)^(3/2)`?

Answer 1

`8/27`=`(2/3)^3`

Explanation:

`(4/9)^(3/2) = (4^1*4^(1/2))/(9^1*9^(1/2)`
`=(4*sqrt4)/(9*sqrt9)`
`=(4*2)/ (9*3) = 8/27`

Aliter :
`(/9)^(3/2) = ((4/9)^(1/2))^3 = (2/3)^3=8/27`