Question

How do you write `root3(x^2y)` as an exponential form?

Answer 1

`x^(2/3)` * `y^(1/3)`

Explanation:

Please remember `root(n)x` is written as `x^(1/n)` in exponential form

Hence `root(3)(x^2y)` can written as `(x^2y)^(1/3)`

As `(x^a)^b` is nothing but `x^(a*b)`

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

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

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