why X⁰ is equal to 1

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X² is X times X.
X¹ is X.
In X^Y Y is the factor that decides how many Xs are getting multiplied.

So why is X⁰ 1? It comes out of nowhere. Zero Xs are getting multiplied, so there’s no numbers being multiplied, meaning there’s nothing.

In: Mathematics

10 Answers

Anonymous 0 Comments

So think of it this way:

X^4 / X^2 is just (XXXX)/(XX) = X^2

X^3 / X^2 is just (XXX)/(XX) = X

X^2 / X^2 is just (XX)/(XX) = 1

In each of these, X^a / X^b = X^(a-b)

If a = b, then we have X^0

This just means we have the same number of X’s in the numerator and denominator, so it’s just some number divided by itself

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