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

We want rules like x^(n+m) = x^n * x^m.

That’s all fine and good and easy for positive and negative n, m. To keep the rules, we can simply define x^0 =1 (for nonzero x).

Think about x^0 = x/x. Which is 1 anyway.

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