Question

How do you simplify `((2/3)^(2/3))^6`?

Answer 1

See the entire simplification process below:

Explanation:

First, use this rule of exponents to simplify the exponents on the out parenthesis: `(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`((2/3)^color(red)(2/3))^color(blue)(6) = (2/3)^(color(red)(2/3)xxcolor(blue)(6)) = (2/3)^4`

We can now complete the simplification as follows:

`(2/3)^4 = 2^4/3^4 = 16/81`