Question

How do you simplify `1/root3(x^2)`?

Answer 1

`color(orange)(=> x^(-2/3)`

Explanation:

`(1/root 3 (x^2))`

`=> 1 / (x*2)^(1/3)`

`"As per theory of indices", (a^m)^n = a^(mn), 1/a^m = a^-m`

`:. => 1 / x^(2/3) = x^(-2/3)`