Hyperoperations

Hyperoperations are a sequence of mathematical operations that extend beyond conventional addition, multiplication, and exponentiation. Starting with addition (operation 1), then multiplication (2), exponentiation (3), and beyond, each new operation builds upon the previous. For example, the next level, called tetration, involves repeated exponentiation. As you progress, hyperoperations rapidly produce extremely large numbers, illustrating a hierarchy of increasingly powerful mathematical processes. They provide a structured way to explore and understand growth rates that surpass basic operations, with applications in theoretical computer science, number theory, and understanding large number phenomena.