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Prove: (Choose only one) If a > b > 0 then a^n > b^n for every positive integer n or If a > b then a > a+b/2 > b Use the typical “statement - reason” method with axiom, definition, or theorem in proving.

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The answer is if a>b>0 then a^n > b^n

Proof by induction

a)  a>b ==> ````a^1 > b^1  by definiton.
b)...

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