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scottdave posted the thread PhysicsForums mentioned on The Action Lab YouTube video in Fun, Photos and Games.I came across this YouTube Short from The Action Lab. I thought it was pretty cool that he searched Reddit and PhysicsForums when... -
##a^0=a^1a^{-1}=a\frac{1}{a}=1##
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Well if your ##x## is zero, then you will have no ##a##'s, so just the ##1## in the begining.
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Or, more generally, ##a^{n+m}=a^na^m## implies ##a^0=1##, because otherwise ##a^{n+0}\neq a^n##.
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scottdave reacted to apostolosdt's post in the thread High School Why does ln x ≤ x - 1 imply exponential growth rates? with
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You might like to check Courant’s “Differential and Integral Calculus”, Vol. I, Rev. Ed., about the order of magnitude of functions, pp...
