How do you simplify #(3x)^-1#?

1 Answer
Feb 10, 2017

See the entire simplification process below:

Explanation:

First, use this rule of exponents:

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

#(3x)^color(red)(-1) = 1/(3x)^color(red)(- -1) = 1/(3x)^1#

Now, use this rule of exponents to complete the simplification:

#a^color(red)(1) = a#

#1/(3x)^color(red)(1) = 1/(3x)#