tetration UK /tɛˈtɹeɪʃn̩/US /tɛˈtɹeɪʃən/ noun1 •The arithmetic operator consisting of repeated exponentiation, by analogy with exponentiation being repeated multiplication and multiplication being repeated addition, ᵇᵃ denoting a to the power of a to the power of … to the power of a, in which a appears b times. formstetrations