On Jul 13, 2013, at 7:16 PM, Peter Duveen <email@example.com> wrote:
> in which I explore with the student possible interpretations for the use of negative numbers, fractions, zero, and 1, as exponents, based on the properties of/operations with positive integral exponents greater than one.
I think the Core description and yours are pretty much the same and are the classic way to "fill in" the definitions of functions with students (or with yourself for that matter).
Consider the following discussion on "what does x! mean if x is not an integer?"