Question

How do you simplify `\frac { 3m ^ { - 3} n ^ { 3} } { n ^ { - 3} }`?

Answer 1

`=n^6/(3m^3)`

Explanation:

Change the negative indices to positive indices by using one of the laws of indices:

`x^-m = 1/x^m and 1/x^-n = x^n`

`(3color(blue)(m^-3)n^3)/color(red)(n^-3) = (n^3color(red)(n^3))/(3color(blue)(m^3))`

Simplify by adding the indices of `n`

`=n^6/(3m^3)`