Question

How do you simplify `(x^(1/3)+x^(-1/3))^2`?

Answer 1

See the entire solution process below:

Explanation:

Use this rule for exponents: `(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`(x^color(red)(1/3) + x^color(red)(-1/3))^color(blue)(2) = x^(color(red)(1/3) xx color(blue)(2)) + x^(color(red)(-1/3) xx color(blue)(2)) = x^(2/3) + x^(-2/3)`