Why does a number powered to 0 = 1?

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Anything multiplied by 0 is 0 right so why does x number raised to the power of 0 = 1? isnt it x^0 = x*0 (im turning grade 10 and i asked my teacher about this he told me its because its just what he was taught 💀)

In: Mathematics

42 Answers

Anonymous 0 Comments

x^0 doesn’t obviously mean anything. It isn’t x*0. Instead, it would be x multiplied with x zero times, which is paradoxical.

But x^m / x^n = x^m-n . So if m=n, you have 1 = x^n / x^n = x^0 . And it works like that with other formulas. So we decided, ok if we say x^0 = 1 , that makes sense, so let’s go with it. 

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