Answer to Question #3873 in Algebra for Gabrie

Question

How do i solve this problem
((x[sup]3[/sup]y[sup]0[/sup]*xy[sup]5[/sup])/(x[sup]-5[/sup]y[sup]0[/sup]))[sup]2 [/sup]?

Answer 1

<img src="/cgi-bin/mimetex.cgi?%5Cfrac%7Bx%5E3y%5E0%20*%20x%20y%5E5%7D%7B%28x%5E%7B-5%7Dy%5E2%29%5E2%7D%20=%20%5Cfrac%7Bx%5E%7B3+1%7Dy%5E%7B0+5%7D%7D%7Bx%5E%7B-10%7Dy%5E4%7D%20=%20x%5E%7B4%20+%2010%7D%20y%5E%7B5-4%7D%20=%20x%5E%7B14%7Dy" title="\frac{x^3y^0 * x y^5}{(x^{-5}y^2)^2} = \frac{x^{3+1}y^{0+5}}{x^{-10}y^4} = x^{4 + 10} y^{5-4} = x^{14}y">