eli5: Why is x^0=1?

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I’m confused, shouldn’t it be 0?

In: Mathematics

8 Answers

Anonymous 0 Comments

Because x^0 = 1 makes a lot of rules work better.
For example set n=0 for the rule: x^n * x = x^n+1
Or set n = m for the rule: x^m / x^n = x^m-n

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