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Math Help - Help with dividing an exponent

  1. #1
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    Help with dividing an exponent

    I'll keep this short. My understanding is dividing an exponent works as follows:

    x^2/x^-5=x^7

    The exponent rules state that you subtract the exponent in the denominator from the exponent in the numerator if they have the same base. 2 - (-5) = 7

    Now, my question. Maybe I'm wrong, or maybe the answer I am looking at is wrong. I need to know which.

    5x^2/10x^-5

    My answer: 1/2x^7
    Answer I was given: .5/x^5

    The same source which provided this answer confirms my first idea of x^2/x^-5 = x^7. What changes when 5/10 is added onto the whole deal?
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Help with dividing an exponent

    You are correct if you mean \frac{1}{2}x^7 in stead of \frac{1}{2x^7}.
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