Why is anything with a 0 index equal 1?

In many programming languages and mathematical contexts, the convention of using a 0-based index means that the first element of a sequence is indexed as 0. When working with powers, such as in the expression (x^0), any non-zero number raised to the power of 0 equals 1. This is because the power indicates how many times to multiply the base by itself, and by definition, multiplying nothing (0 times) results in the identity element for multiplication, which is 1. Thus, anything indexed at 0, like (x^0), is equal to 1.