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Can anyone explain why $a^{b^c} = a^{(b^c)} \neq (a^b)^c = a^{(b*c)}$
Its been a while since I worked much with exponents, and I got confused and thought that $(a^b)^c = a^{(b^c)}$
I wasn't sure, so I tried my usual strategy of decompressing the equation (eg. $x^2 = (x)(x)...(x)$) but that didn't do the trick in this case (maybe I did it wrong). How can I show the difference between the two expressions in a simple and intuitive way?