Question

How do you write this expression in radical form `(x^2)^(4/3)`?

Answer 1

`(x^2)^(4/3)=root(3)x^8`

Explanation:

As `(a^m)^n=a^(mn)`, `(x^2)^(4/3)=x^(2xx4/3)=x^(8/3)`

Now, in radical form `a^(1/p)=root(p)a`

Hence `x^(8/3)=(x^8)^(1/3)=root(3)x^8`