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

1 Answer
Sep 12, 2016

Answer:

#1/(27x^6)#

Explanation:

Recall: two of the laws of indices:

#x^color(red)(-m) = 1/x^color(red)(m) " and " (ab)^m = a^mb^m#

Let's get rid of the negative index first....

# (3x^2)^color(red)(-3) = 1/(3x^2)^color(red)(3)" "larr# remove brackets.

=#1/(3^3x^6)#

=#1/(27x^6)#