Question

How do you simplify `(64 / 125) ^(1/3)`?

Answer 1

`64 = 4xx4xx4 = 4^3`
`125 = 5xx5xx5 = 5^3`

`(64/125)^(1/3) = (4^3/5^3)^(1/3) = ((4^3)^(1/3))/((5^3)^(1/3))`

`=(4^(3*1/3))/(5^(3*1/3)) = 4^1/5^1 = 4/5`