why X⁰ is equal to 1

Question

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

Answer 1

X⁰ = 1 because the 0 exponent means you multiply X 0 times, leaving it as X, not 0; dividing X¹ by X gives X⁰, and any number divided by itself is 1.