SOLUTION: Good evening, Can someone help me with this question because I am really confused and I am starting to get frustrated so please help me. The question is ((6a^2b)/(b^2c))*((5c^3)/

Algebra ->  Rational-functions -> SOLUTION: Good evening, Can someone help me with this question because I am really confused and I am starting to get frustrated so please help me. The question is ((6a^2b)/(b^2c))*((5c^3)/      Log On


   

Question 883028: Good evening,
Can someone help me with this question because I am really confused and I am starting to get frustrated so please help me. The question is ((6a^2b)/(b^2c))*((5c^3)/(8b)). Thank you in advance.
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
%28%286a%5E2b%29%2F%28b%5E2c%29%29%2A%28%285c%5E3%29%2F%288b%29%29
=
%28%28%286a%5E2b%29%2A%285c%5E3%29%29%2F%28%28b%5E2c%29%2A%288b%29%29%29%29
= multiply numbers together and reorder the bottom
%28%28%2830%2Aa%5E2%2Ab%2Ac%5E3%29%29%2F%28%288b%29%2A%28b%5E2c%29%29%29%29
simplify the bottom
%28%28%2830%2Aa%5E2%2Ab%2Ac%5E3%29%29%2F%28%288b%5E3%2Ac%29%29%29%29
use the fact that 30/8 = 15/4 and b%2Fb%5E3+=+1%2Fb%5E2 and c%5E3%2Fc+=+c%5E2
to simplify
%28%28%2815%2Aa%5E2%2Ac%5E2%29%29%2F%28%284b%5E2%29%29%29%29