Question

How do you simplify the expression `[(b^9)^-1]^-2` using the properties?

Answer 1

See the entire simplification process below:

Explanation:

Use this rule of exponents to first simplify the bracketed term and then to simplify the term within the parenthesis:

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

`[(b^9)^color(red)(-1))]^color(blue)(-2) = (b^9)^(color(red)(-1) xx color(blue)(-2)) = (b^9)^2`

`(b^color(red)(9))^color(blue)(2) = b^(color(red)(9) xx color(blue)(2)) = b^18`