# Exponentiation rules in ℝ

*This is something one usually learns in a piece-wise fashion, because it is information that is usually scattered among all sorts of different books (analysis, algebra, etc.). Well, here I round it all up in one place.* #math #reals #exponentiation

This manuscript begins with exponentiation for real numbers with positive integers as exponents. From there, it moves on to negative integers, and rational numbers (as exponents). The goal is to include also the case of real exponents, but this is still not finished. The conclusion is also not finished, but the rest is in what I hope will be its final form.

**May 2, 2023.** *Got feedback? Great, email is your friend!*