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

Since others have already explained the WHY, I thought I might give a different explanation as to HOW X⁰=1 makes sense.

Try multiplying 2², then 2¹, 2½, 2⅓, 2¼, you get the idea. You will begin to notice the closer you get to 2⁰, the closer the result equals 1.

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