# tetration

## EnglishEdit

### EtymologyEdit

tetra- +‎ (itera)tion; coined by Reuben Goodstein

### NounEdit

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tetration (usually uncountable, plural tetrations)

1. (arithmetic) 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, ${\displaystyle a\uparrow \uparrow b}$  or ${\displaystyle a\rightarrow b\rightarrow 2}$