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Math Help - Negative Exponent Proof.

  1. #1
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    Negative Exponent Proof.

    Let
    a > 0, x inR. Prove that

    a^x =1/a^x





    I have done the proof for x in Q, but I am not sure how to use it to prove the same for R.

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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by amm345 View Post
    Let
    a > 0, x inR. Prove that

    a^x =1/a^x





    I have done the proof for x in Q, but I am not sure how to use it to prove the same for R.

    This comes from how you define the exponential function. Depending on your book defined it dictates the proof. You aren't using Rudin are you?
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    No we don't actually have a textbook our proff just wants us to use his notes.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by amm345 View Post
    No we don't actually have a textbook our proff just wants us to use his notes.
    Ok...that doesn't change my question.
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    Not using rudin.
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  6. #6
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by amm345 View Post
    Not using rudin.
    You're previous answer doesn't change my question as to what definitio of the exponential function you're using.
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