How do you multiply (4m ^ { - 6} n ^ { 10} ) ( - 10m ^ { - 2} n ^ { 3} )?

1 Answer
Nov 5, 2016

By multiplying like terms.

Explanation:

So here you have (4m^-6n^10)(-10m^-2n^3).

Essentially you just add the exponents on the like terms (add the exponents on the m's and n's) and then multiply the constants.

4*-10=-40
m^-6*m^-2=m^(-6+(-2))=m^-8
n^10*n^3=n^(10+3)=n^13

Put this all together and you get

-40m^-8n^13

To make it look prettier you could say

(-40n^13)/m^8