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

1 Answer
Feb 11, 2017

Answer:

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)#