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a^m.a^n=a^(m+n)

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a^m.a^n=a^(m+n)

mathamatical mathods of Dr. S. M. Yusuf (groups ch#2 )

algebra problems

asked Mar 29, 2013 in Word Problem Answers by habibhashmy Level 1 User (140 points)

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1 Answer

Take logs of the LHS:

log(a^m)+log(aⁿ)=

mlog(a)+nlog(a)=(m+n)log(a)=log(a^m+n).

Take the log of the RHS=log(a^m+n), which is the same as the log of the LHS.

Therefore a^m.aⁿ=a^m+n.

answered Apr 18, 2023 by Rod Top Rated User (1.2m points)

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