Question

How do you simplify `3^(5/3)*3^(1/3)`?

Answer 1

`3^(5/3) xx 3^(1/3) = 9`

Explanation:

From a rule of indices: `a^n xx a^m = a^(n+m)`

In this example `a=3, n=5/3, m=1/3`

Therefore: `3^(5/3) xx 3^(1/3) = 3^(5/3+1/3)`

`=3^(6/3) =3^2 =9`