Exponentiation Operator

Exponentiation Operator

Exponentiation is a binary operator that operates on a base value and an exponent value. The exponent is denoted in a superscript style. A base value to the power is the same as multiplying the base by itself times. For example, 2 to the 3 power which is represented as is equal to 2 multiplied by 2 multiplied by 2:

The exponentiation operator is intimatiley related to the logarithm and radical operators[1]. It plays a prominent role in exponential growth.

Basic Pattern (Base 5 examples)

The basic pattern of exponentiation is demonstrated by raising a base value, in this case 5, to powers starting from 1 and increasing.

Properties

Name Property
Zero Property
Identity Property
Negative Property
Product Property
Quotient Property
Power Property
Radical Property

Functions

Exponential Function | Function

The exponential function models exponential growth. The output of the function at any given point is equal to the rate of change at that point. For real number input, the function conceptually returns Euler's number raised to the value of the input.

Power Function | Function

Returns the result of b raised to the y power.

References

  1. A Math Love Triangle