SOLUTION: Please show me how to solve this problem. thanks! {{{(8x^3y^4)/(3xy^7)}}}÷{{{(9x^2y^2)/(2x^5y^6)}}}

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Please show me how to solve this problem. thanks! {{{(8x^3y^4)/(3xy^7)}}}÷{{{(9x^2y^2)/(2x^5y^6)}}}       Log On


   

Question 77201: Please show me how to solve this problem. thanks!
%288x%5E3y%5E4%29%2F%283xy%5E7%29÷%289x%5E2y%5E2%29%2F%282x%5E5y%5E6%29
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Please show me how to solve this problem. thanks! 

%288x%5E3y%5E4%29%2F%283xy%5E7%29÷%289x%5E2y%5E2%29%2F%282x%5E5y%5E6%29

Invert the second fraction and change ÷ to ×

%288x%5E3y%5E4%29%2F%283xy%5E7%29×%282x%5E5y%5E6%29%2F%289x%5E2y%5E2%29

Give the x in the bottom of the first fraction its
understood exponent of 1:

%288x%5E3y%5E4%29%2F%283x%5E1y%5E7%29×%282x%5E5y%5E6%29%2F%289x%5E2y%5E2%29

On both top and bottom, multiply the coefficients,
add the exponents of the x's and of the y's:

%288%2A2x%5E%283%2B5%29y%5E%284%2B6%29%29%2F%283%2A9x%5E%281%2B2%29y%5E%287%2B2%29%29

%2816x%5E8y%5E10%29%2F%2827x%5E3y%5E9%29

Divide by subtracting exponents of x and y

%2816x%5E5y%5E1%29%2F27

We can erase the 1 exponent of the y, leaving
it understood:

%2816x%5E5y%29%2F27

Edwin