On a straight line with marked origin 0 and unit 1, two points x and y are given. Is it possible, by any finite method, to geometrically define x^y if the given y is not a rational but an arbitrary point?
2026-04-12 01:18:40.1775956720
Raising to power geometrically
85 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail At
1
Answer to an earlier version of the question which asked to construct $x^y$ instead of merely defining it:
No, at least not if "any finite method" means compass and straightedge -- for example this is famously impossible when $x=2$ and $y=1/3$.