SOLUTION: Multiply.-3a^2b/35a^5 x 14a^3b^2/-9b^4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Multiply.-3a^2b/35a^5 x 14a^3b^2/-9b^4      Log On


   

Question 104765: Multiply.-3a^2b/35a^5 x 14a^3b^2/-9b^4
Found 2 solutions by duggie, Fombitz:
Answer by duggie(26) About Me  (Show Source):
You can put this solution on YOUR website!
Hello,
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


Sorry, this expression cannot be simplified.

Universal Simplifier and Solver


Done!

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
%28%28-3%29a%5E2b%2F35a%5E5%29%2814a%5E3b%5E2%2F-9b%5E4%29
A couple of exponentiation rules will help.
x%5Em%2Ax%5En=x%5E%28m%2Bn%29
x%5Ep%2Fx%5Eq=x%5E%28p-q%29
Let's break this down to simplify.
First let's multiply the numerators then denominators.
Numerator:

Denominator:
%2835a%5E5%29%28-9b%5E4%29=-315a%5E5b%5E4
Put it together

Simplify.

%28%28-3%29a%5E2b%2F35a%5E5%29%2814a%5E3b%5E2%2F-9b%5E4%29=2%2F%2815b%29