How do you simplify #(x^-2)^3#?

1 Answer
Feb 13, 2017

Answer:

See the entire simplification process below:

Explanation:

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

#(x^color(red)(-2))^color(blue)(3) = x^(color(red)(-2) xx color(blue)(3)) = x^-6#

If as part of the simplification process you want to have only positive exponents you can use this rule for exponents: #x^color(red)(a) = 1/x^color(red)(-a)#

#x^color(red)(-6) = 1/x^color(red)(- -6) = 1/x^6#

The simplification is #x^-6# or #1/x^6#