What is tetration?

Tetration is a mathematical operation that involves iterating exponentiation. It is denoted by an arrow notation, where n^^x represents the operation of tetration.

In tetration, the base number is raised to itself repeatedly. For example, 2^^4 would be equal to 2^(2^(2^2)) = 2^16 = 65536.

Tetration is the fourth hyperoperation in the series of arithmetic operations, following addition, multiplication, and exponentiation. It is the inverse operation of pentation.

Tetration is a rapidly growing operation, with values increasing exponentially as the number of iterations increases. It is commonly used in mathematics to represent extremely large numbers or to solve problems that involve repeated exponentiation.

Tetration is not as commonly studied or used as other arithmetic operations, but it is still an important concept in higher mathematics and computer science.