SOLUTION: -3a^2b DIvided by 35a^5 TIMES 14a^3b^2 divided by -9b^4

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Question 120370: -3a^2b DIvided by 35a^5 TIMES 14a^3b^2 divided by -9b^4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

%28%28-3a%5E2b%29%2F%2835a%5E5%29%29%2A%28%2814a%5E3b%5E2%29%2F%28-9b%5E4%29%29 Start with the given expression


%28%28-3a%5E2b%29%2A%2814a%5E3b%5E2%29%29%2F%28%2835a%5E5%29%2A%28-9b%5E4%29%29 Combine the fractions


%28-42a%5E5b%5E3%29%2F%28-315a%5E5b%5E4%29 Multiply the numerators and denominators by adding the exponents. Remember x%5E2%2Ax%5E3=x%5E%282%2B3%29=x%5E5. Don't forget to multiply the coefficients.


%282%2F15%29a%5E0b%5E-1 Divide the expression by subtracting the exponents. Remember x%5E5%2Fx%5E3=x%5E%285-3%29=x%5E2. Don't forget to divide the coefficients.



%282%2F15%29%281%2Fb%29 Rewrite a%5E0 as 1 and remove it (since multiplication by 1 doesn't affect the result). Rewrite b%5E-1 as 1%2Fb


2%2F15b Combine the fractions



So %28%28-3a%5E2b%29%2F%2835a%5E5%29%29%2A%28%2814a%5E3b%5E2%29%2F%28-9b%5E4%29%29 simplifies to 2%2F15b

In other words, %28%28-3a%5E2b%29%2F%2835a%5E5%29%29%2A%28%2814a%5E3b%5E2%29%2F%28-9b%5E4%29%29=2%2F15b