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

1 Answer
May 24, 2017

#=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)#