(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

I need to prove that for any real numberr, if 0 <r< 1, then for all positive integersnandm, ifn<m, thenr^n>r^m.

2. Relevant equations

No calculus techniques are permitted, only mathematical induction.

3. The attempt at a solution

I know that any fraction between 0 and 1 is going to get smaller if it is multiplied by anything positive, so this is obviously true.

I know that I first need to figure out what predicate to use, but I'm having a problem with all of the variables.

Im not looking for the answer, just a little bit of direction. Where/how do I begin? I know what to prove, I just dont know how to prove it.

Thanks for any help out there

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# Proving r^n > r^m through mathematical induction

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