Although the terms exponent and power are often used in a similar way, they do not mean exactly the same thing. The exponent tells us how many times a number is multiplied by itself, while the power represents the complete expression formed by the base and the exponent or its final value.
This table compares exponent and power according to several criteria:
Characteristic | Exponent | Power |
|---|---|---|
Definition | A number that indicates how many times the base is used as a factor in multiplication. | A mathematical expression consisting of a base and an exponent. |
Notation | It appears as a superscript to the right of the base (e.g., in 23, 3 is the exponent). | It is written in the form an, where a is the base and n is the exponent. |
Role | Indicates how many times the base is multiplied by itself. | Represents repeated multiplication using a base and an exponent. |
Example | In 72 = 49, 2 is the exponent. | In 72 = 49, 72 is the power, and 49 is its value |
Context of Use | Used to indicate the number of times a base is multiplied by itself. | Used to represent repeated multiplication in a concise form. |