SOLUTION: multiply: -3a^2b 14a^3b^2 ------ * --------- 35a^5 -9b^4 If this was simpler I could figure it out, but with so many letters in it I have just become lost! Th

Question 66395: multiply:
-3a^2b 14a^3b^2
------ * ---------
35a^5 -9b^4
If this was simpler I could figure it out, but with so many letters in it I have just become lost! Thank you for the help!!!!

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Multiply:
Ok, let's take it one step at-a-time.
First look at the numbers.
Do you see that you can cancel a -3 in the numerator of the first fraction and the -9 in the denominator of the second fraction, leaving a 3 in the denominator of the second fraction?
Now do you see that the 14 and the 35 are both divisible by 7? Then let's divide them by 7.
Now we can look at the variables, a and b.
Remember the rules for dividing factors with exponents?
If the base is the same (in this case, the bases are a and b), you subtract the exponents. Let's do the a's first and see what we get!
Simplifying this a bit and remembering that
Now we can do the same thing with the s
Now do the b's
Finally, cancel the b's and simplify.
= ...and there it is!
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