SOLUTION: please multiply and simplify this problem. (3a^2b)(2a^3b^2)(-ab^4) thank you

Algebra ->  Exponents -> SOLUTION: please multiply and simplify this problem. (3a^2b)(2a^3b^2)(-ab^4) thank you      Log On


   

Question 187154: please multiply and simplify this problem.

(3a^2b)(2a^3b^2)(-ab^4)

thank you
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
%283a%5E2b%29%282a%5E3b%5E2%29%28-ab%5E4%29 Start with the given expression.


%283%2A2%28-1%29%29%28a%5E2%2Aa%5E3%2Aa%29%28b%2Ab%5E2%2Ab%5E4%29 Rearrange the terms.


-6%28a%5E2%2Aa%5E3%2Aa%29%28b%2Ab%5E2%2Ab%5E4%29 Multiply 3, 2, and -1 to get -6


-6%28a%5E%282%2B3%2B1%29%29%28b%5E%281%2B2%2B4%29%29 Add the exponents to multiply the monomials.


-6a%5E6%2Ab%5E7 Add


So %283a%5E2b%29%282a%5E3b%5E2%29%28-ab%5E4%29=-6a%5E6%2Ab%5E7