The traditional definition for the operation of exponentiation to a natural power (or a positive integer) had introduced approximately as follows:

**Exponentiation** is an arithmetic operation originally defined as *the result of multiple multiplications a number by itself*.

But the more precise formulation is still different:

**Raising a number X to an integer power N** is an arithmetic operation defined as *the result of multiple [**N ** by mod times] multiplications or divisions **one** by number *** X**.