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

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


   

Question 29901: Multiply.
-3a^2b/35a^5 x 14a^3b^2/-9b^4
Please help.
Thank you
Found 2 solutions by Cintchr, sdmmadam@yahoo.com:
Answer by Cintchr(481) About Me  (Show Source):
You can put this solution on YOUR website!
+%28%28-3a%5E2b%29%2F%2835a%5E5%29%29%28%2814a%5E3b%5E2%29%2F%28-9b%5E4%29%29+ reduce the 'a' in the first fraction and the 'b' in the second.

+%28%28-3b%29%2F%2835a%5E3%29%29%28%2814a%5E3%29%2F%28-9b%5E2%29%29+ cross reduce the -3 and -9 by dividing both by -3
+%28%28b%29%2F%2835a%5E3%29%29%28%2814a%5E3%29%2F%283b%5E2%29%29+ cross reduce the 35 and 14 by dividing both by 7
+%28%28b%29%2F%285a%5E3%29%29%28%282a%5E3%29%2F%283b%5E2%29%29+ cross reduce the 'a' by dividing by +a%5E3+
+%28%28b%29%2F%285%29%29%28%282%29%2F%283b%5E2%29%29+ cross reduce the 'b' by dividing both by b
+%28%281%29%2F%285%29%29%28%282%29%2F%283b%29%29+ multiply straight across
+2%2F%2815b%29+

Answer by sdmmadam@yahoo.com(530) About Me  (Show Source):
You can put this solution on YOUR website!
-3a^2b/35a^5 x 14a^3b^2/-9b^4
= (-3a^2b)/(35a^5) x (14a^3b^2)/(-9b^4)
= [(-3X14)a^5b^3]/[(-9X35)a^5b^4] [mulitplying the nr by nr and dr by dr]
=+ [2/(3X5)](1/b)(canceling (3X7)a^5b^3 )
=(2/15b)