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’ll try to explain it how my high school math teacher explained it to us.

x^(0)

=> x^(y-y) ( This just means that we can write 0 as a subtraction of 2 same numbers; y in this case)

=> x^(y) / x^(y) ( A rule of exponents says that if you have different exponents to the same number in division, the exponents can be subtracted and vice versa)

=> 1

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