Etymology

Noun

1. 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. Notation: ^ba, $a\backslash uparrow\backslash uparrow\; b$ or $a\backslash rightarrow\; b\backslash rightarrow\; 2$

Synonyms

• exponential map, hyper4, hyperpower, power tower, super-exponentiation