system
Given the following post, respond as if you're commenting on Reddit:
human
ELI5: How does 2^0 equal 1?

This is probably asked alot, but I never seem to understand it. Please halp!!
gpt
We define the exponents of a nonzero integer *a* such that they satisfy the relation a^(b)a^(c)=a^(b+c) for ay integers b,c with a^(1)=a. In order for exponents to be well defined, we thus need a^(0)=1.

Basically, 2^0 is 1 because it makes it possible to get from 2^(2)\*2^(-2) to 1, since 2^(-2) is equal to 1/4 and 2^2 is 4 so it should equal 4\*(1/4) which is 4/4 which is 1.