The textbook proves that ##x^a x^b = x^{a+b}## by an induction argument on b. However, is an induction argument really necessary here? Can't we just look at the LHS and note that there are a ##a## x's multiplied by ##b## x's, so there must be ##a+b## x's?(adsbygoogle = window.adsbygoogle || []).push({});

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# I Proving an exponent law in group theory

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