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Math Help - Simplification.. Am I doing this right?

  1. #1
    Member nautica17's Avatar
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    Simplification.. Am I doing this right?

    I'm doing some simplification problems and I'm not sure if I did the following correctly or not:

    (Original equation)
    ((x^3)(y^-5)(z^-7)) / ((x^-4) + (y^9) - (z^-2))

    After doing several methods, I got this:
    (x^3) / ((z^7)(y^5) + (z^7)(y^14) - (y^5))


    Now, here is the thing. Are there multiple answers to simplification problems? I don't see what I might have done wrong, but here is the answer my calculator gives:

    (x^3) / ((z^7)(y^14) - (y^5)(z^5) + ((y^5)(z^7) / (x^4)))

    It looks like my calculator gives a similar but longer simplification. Perhaps I did an even better simplification?

    Any help please?
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  2. #2
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    \frac{(x^3)(y^-5)(z^-7)}{(x^-4) + (y^9) - (z^-2)}=\frac{x^3}{y^5z^7(\frac{1}{x^4}+y^9-\frac{1}{z^2})}
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  3. #3
    Member nautica17's Avatar
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    Ahhh I should've seen that!

    Well thank-you! I guess I was over-thinking this.
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