Why every number to the power of 0 is equal to 1?

Question

I’m too dumb to get it

In: Mathematics

Answer 1

You have three sheep, which is 1+1+1, and you ask what happens as you remove them. You go 3, then 2, then 1 and then, when you remove the last one you know that for additions 3 is actually 1+1+1+0+0+0+0, etc.

But exponents are one floor above sums. At that floor, 8 is 2·2·2. You start removing twos and ask yourself why am I not left with a zero?
The answer is that 8 isn’t 2·2·2·0·0·0, etc. It’s actually 2·2·2·1·1·1·1·1. Because exponents are in the multiplication floor, and in that floor “nothing” is a bunch of ones.