---
title: "Ivory: By Your Powers Combined"
---
> | Try, if you can to come where we have gone
> | You may achieve what can't be simply done
> | Look back and there you are where we have been
> | And still there's so much in between
— Helloween, *Power*
TODO
- Exponents let us implement reciprocals (powers of 1̅), and hence fractions
- Exponents interact with each other and with products, but not sums
- This page should focus on their normalisation rules, as an extension to the
sums-and-products page
- Normal form is likely to be the fixed point of
'x = sums-of-products-of-exponents-of x'
- Fractional exponents give us algebraic numbers; save that for the radical page