Question

How do you evaluate and simplify `3^(1/4)*27^(1/4)`?

Answer 1

`3`

Explanation:

`3 ^(1/4) * 27 ^(1/4) = 3 ^(1/4) * (3^3) ^(1/4)`

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

`3^(1/4+3/4) = 3^1 = 3` [Ans]