Question

How do you simplify `(- \frac { 8t } { 9} ) ^ { 2}`?

Answer 1

See a solution process below:

Explanation:

We can use these rules of exponents to simplify this expression:

`a = a^color(red)(1)` and `(x^color(red)(a))^color(blue)(b) = x^(color(red)(a) xx color(blue)(b))`

`(-(8t)/9)^2 => ((-8^color(red)(1)t^color(red)(1))/9^color(red)(1))^color(blue)(2) => ((-8)^(color(red)(1) xx color(blue)(2))t^(color(red)(1) xx color(blue)(2)))/9^(color(red)(1) xx color(blue)(2)) =>`

`((-8)^2t^2)/9^2 =>`

`(64t^2)/81`