Question

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

Answer 1

`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)`