Is this a good explanation for why a number raised to the zero power equals one?

I think this is something that everyone feels is a bit strange. One approach would be to talk about how exponents are added when you multiply, and that if one number has a zero exponent the answer will have the same exponent as the other number, so multiplying by the zero-exponent number is equivalent to multiplying by 1. That seems overly complicated. What is needed is a more intuitive approach that, at the very least, makes this plausible.

Let’s work with base 2, to make things more concrete. 2^{1 = 2, 2}2 = 2×2 = 4, 2^{3= 2×2x2=8. Each time the exponent is raised by 1, the previous number is doubled. This is the same as saying that each time the exponent is decreased by 1, the previous value is cut in half. If would then follow that in going from 2}1 to 2^0, we get 2/2 = 1. The same would hold if we chose any base other than 2.

The argument is not intended to be a knockdown proof, but a suggestion that it is not totally off the wall to conjecture that a number to the zero power is 1.