TheDaylyConcept
+,-,*, and / are all Hyperoperations.

hyperoperations are one mathematical way to process numbers, and include:

addition,

subtraction,

multiplication,

division,

exponentiation (powers),

and roots (like the square root)

you see, multiplication is repeated addition:

3*4=12 , 3+3+3+3=12

and powers are repeated muliplication:

3^4=81 , 3*3*3*3=81

and subtraction and division and roots are their inverses:

3+4-4=3

3*4/4=3

4th root of (3^4)=3

so what if you continue this pattern?

well, repeated exponentiation (powers) is called tetration (because it is the 4th hyperoperation), 

3 tetrated by 4=7,625,597,484,987 and 

(((3^3)^3)^3)=7,625,597,484,987

tetration also has corresponding hyperroots and hyperlogarithms as inverses.

repeated tetration is pentation, and you can keep going forever from there.

http://en.wikipedia.org/wiki/Hyperoperation

http://en.wikipedia.org/wiki/Knuth’s_up-arrow_notation (for one way of writing all this)