Question

How do you simplify `27^(3/4)`?

Answer 1

`9 root(4)3`

Explanation:

Factorize the basis.

`(3∧3)∧(3/4) = 3∧9/4 = 3∧(2 + 1/4) =`

`= 3∧2 * 3∧1/4 = 9 * root(4)3`

I used

`(a∧b)∧c = a∧(bc)`

`a∧(b + c) = a∧b * a∧c`