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

Mar 30, 2017

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:

${\left({x}^{\textcolor{red}{a}}\right)}^{\textcolor{b l u e}{b}} = {x}^{\textcolor{red}{a} \times \textcolor{b l u e}{b}}$

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

${\left({b}^{\textcolor{red}{9}}\right)}^{\textcolor{b l u e}{2}} = {b}^{\textcolor{red}{9} \times \textcolor{b l u e}{2}} = {b}^{18}$