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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Originally Posted by amm345 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?
No we don't actually have a textbook our proff just wants us to use his notes.
Originally Posted by amm345 No we don't actually have a textbook our proff just wants us to use his notes. Ok...that doesn't change my question.
Not using rudin.
Originally Posted by amm345 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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