# Simplifying Expressions Into Different Forms :(

• Jan 21st 2009, 02:44 PM
Simplifying Expressions Into Different Forms :(
Okay so I have this problem that says:
If we simplify the expression $\displaystyle x^4y^4-x^6/(xy)^2$ to the form $\displaystyle x^Py^Q-x^Ry^S$ what are the terms P,Q,R, and S?

im struggling on how to get started to figure it out. my first idea was to make the expression $\displaystyle x^4y^4-x^6/(xy)(xy)$
• Jan 21st 2009, 02:50 PM
Jester
Quote:

Okay so I have this problem that says:
If we simplify the expression $\displaystyle x^4y^4-x^6/(xy)^2$ to the form $\displaystyle x^Py^Q-x^Ry^S$ what are the terms P,Q,R, and S?

im struggling on how to get started to figure it out. my first idea was to make the expression $\displaystyle x^4y^4-x^6/(xy)(xy)$

$\displaystyle x^6 x^{-2}y^{-2}$

and use the law of exponents.
• Jan 21st 2009, 03:00 PM
Quote:

Originally Posted by danny arrigo

$\displaystyle x^6 x^{-2}y^{-2}$

and use the law of exponents.

so $\displaystyle x^4y^4-x^6/(xy)^2$turns into $\displaystyle x^6x^-2y^-2$? how does that work? sorry, im confused :(
• Jan 21st 2009, 03:12 PM
Jester
Quote:

so $\displaystyle x^4y^4-x^6/(xy)^2$turns into $\displaystyle x^6x^-2y^-2$? how does that work? sorry, im confused :(
$\displaystyle \frac{1}{x^n} = x^{-n}$ and $\displaystyle (xy)^n = x^n y^n$