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Math Help - Simplifying Expressions Into Different Forms :(

  1. #1
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    Simplifying Expressions Into Different Forms :(

    Okay so I have this problem that says:
    If we simplify the expression x^4y^4-x^6/(xy)^2 to the form 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 x^4y^4-x^6/(xy)(xy)
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  2. #2
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    Quote Originally Posted by jemadd2 View Post
    Okay so I have this problem that says:
    If we simplify the expression x^4y^4-x^6/(xy)^2 to the form 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 x^4y^4-x^6/(xy)(xy)
    Re-write your second term as

    x^6 x^{-2}y^{-2}

    and use the law of exponents.
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  3. #3
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    Quote Originally Posted by danny arrigo View Post
    Re-write your second term as

    x^6 x^{-2}y^{-2}

    and use the law of exponents.
    so x^4y^4-x^6/(xy)^2turns into x^6x^-2y^-2? how does that work? sorry, im confused
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  4. #4
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    Quote Originally Posted by jemadd2 View Post
    so x^4y^4-x^6/(xy)^2turns into x^6x^-2y^-2? how does that work? sorry, im confused
    Yes, in general

    \frac{1}{x^n} = x^{-n} and  (xy)^n = x^n y^n
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