SOLUTION: multiply -3a^2b/35a^5*14a^3b^2/-9b^4

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Question 49576: multiply
-3a^2b/35a^5*14a^3b^2/-9b^4
Answer by Earlsdon(6103) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply:
%28%28-3%29a%5E2b%2F35a%5E5%29%2814a%5E3b%5E2%2F-9b%5E4%29 You can start with the numbers by canceling common factors where possible. For the 14 and 35, 7 is a common factor, and for the -3 and -9, -3 is a common factor.
%28a%5E2b%2F5a%5E5%29%282a%5E3b%5E2%2F3b%5E4%29 Now the variables, a and b. If you have trouble seeing exactly what can be canceled, you can rewrite the expression as follows:
%28%28a%2Aa%2Ab%29%2F%285%2Aa%2Aa%2Aa%2Aa%2Aa%29%29%28%282%2Aa%2Aa%2Aa%2Ab%2Ab%29%2F%283%2Ab%2Ab%2Ab%2Ab%29%29
Now, for every a in the top, cancel an a in the bottom...one-for-one. Do the same with the b's until you get:
%28b%2F%285%2Aa%2Aa%2Aa%29%29%28%282%2Aa%2Aa%2Aa%29%2F%283%2Ab%2Ab%29%29 Continue the canceling.
%281%2F5%29%282%2F%283%2Ab%29%29 Finally, multiply the numerators and the denominators.
2%2F15b