enneate ennate (merging consecutive vowels) nonate (Latin creeps in, as with polygons: John Conway "Naming Polygons" in newsgroup geometry.pre-college)
3 = triate trate
2 = biate bate duate diate date
1 = monoate monate unuate uniate unate
These are the most silly ways of saying add, multiply, and raise to a power.
enneation ennation nonation
3 = triation tration
2 = biation bation duation diation dation
1 = monoation monation unuation uniation unation
Tetration = tetra + iteration, yielding tetraration, but substituting rar = r because it is awkward for the special case of tetra only.
ennearation ennaration nonaration
3 = triration
2 = biration duration diration
1 = monoration monaration unuration uniration unaration
Of course, tetration is enough.