eli5: why is x⁰ = 1 instead of non-existent?

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It kinda doesn’t make sense.
x¹= x

x² = x*x

x³= x*x*x

etc…

and even with negative numbers you’re still multiplying the number by itself

like (x)-² = 1/x² = 1/(x*x)

In: 1797

38 Answers

Anonymous 0 Comments

I’ve had it explained this way, maybe it’ll help. You are correct that x^2 = x*x, but it is also 1*x*x, since they’re the same thing.

X^1 = 1*x, and so continuing the pattern we get

X^0 = 1

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