Why does any number raised to an exponent of zero equal 1?

1 Answer

Answer :

answer:I can’t remember the math proving it, but I sort of remember when I questioned it myself when doing A-levels maths that I realised that it equals the number being divided by itself, which is always 1. Ok I just took a quick look back and here is my “proof” or reasoning. 2×2x2 = 2^3 = 8 2×2 = 2^2 = 4 2 = 2^1 = 2 2/2 = 2^0 = 1 2/2^2 (or 2/2 divided by 2 again) = 2^-1 = ½ Basically the powers are on a scale shown above, and ^0 is just between 1 and -1 which means that the number is divided by itself. This doesn’t work for 0 though because 0/0 = impossible or infinity depending who you listen to. Also I am unsure whether this works for negative numbers, so please let me know as I do not have any proper calculator to do this with.

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