Factorexation

Factorexation is a complex operation that takes a factorial and exponentiates it by itself. Turn the number that you get into a factorial and exponentiate it by itself, and so on. It's symbol is "\". The pronounciation of "a \\" is "A factorexated". The number of "\"'s signifies how many times you factorexate the number. It is used for hyperoperations. The term was coined by SpongeTechX.

Examples

 * a!a! = b → b!b! = c → c!c! · · · · 
 * a!a! = b → b!b! = a \\ 
 * 2!2! = 22 = 4 → 4!4! = 2424 = 1,333,735,776,850,284,124,449,081,472,843,776 = 2 \\
 * 3!3! = 66 = 46,656 = 3 \

Trivia

 * The reason why it isn't "a! \" is because you can't factorexate a number without factorials, so there is really no need for the "!".
 * If you have something like "a \\\· · ·", and there are a large number of "\"s, for example, 1000, you would write it as "a \1000".