Exponentiation
When it is a positive integer, the exponent indicates how many copies of the base are multiplied together. For example, . The base appears times in the repeated multiplication, because the exponent is . Here, is the "base", is the "exponent", and is the "power" or, more specifically, "3 raised to the 5th power".
Exponentiation
Another characterization of the exponential function formula_66 is as the limit of formula_75, as "n" approaches infinity. By thinking of the "n"th power in this definition as repeated multiplication in polar form, it can be used to visually illustrate Euler's formula. Any complex number can be represented in polar form as formula_76, where "r" is the absolute value and "θ" is its argument. The product of two complex numbers formula_77 and formula_78 is formula_79.