Question

How do you write `2x^(-1/2)` in radical form?

Answer 1

`2x^(-1/2)= color(green)(2/sqrtx`

Explanation:

In exponents, `color(blue)(x^(-a) = 1/x^a`

Hence `2x^(-1/2) = 2/(x^(1/2)`

We also know that `color(blue)(x^(1/n) = rootnx`

So `2/(x^(1/2)) = 2/root2x = color(green)(2/sqrtx`