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

When you go from x¹ to x² to x³, you multiply by x each time.

If you do it in reverse, going from x³ to x² to x¹, you’re dividing by x each time. Do it one more time, to go from x¹ to x⁰: you get x/x, which is always 1.