Question

How do you simplify `(a^(1/2))^(3/2)`?

Answer 1

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

`(a^color(red)(1/2))^color(blue)(3/2) = a^(color(red)(1/2) xx color(blue)(3/2)) = a^(3/4)`