Concept

Power

A power is the product of a repeated factor. A power expression consists of two parts. The base is the repeated factor and the exponent indicates how many times the base is used as a factor. Consider, for example, the power expression with base 7 and exponent 4.
A power expression 7^4 where 7 is the base and 4 is the exponent

In this example, 7 is multiplied by itself 4 times. 7^4 = 7 * 7 * 7 * 7_4 Most powers are read in the same way, whether they are numeric or algebraic.

Expression Example 1 Example 2
2^2 2 to the second power 2 squared
7^3 7 to the third power 7 cubed
5^4 5 raised to the power of 4 5 raised to the fourth power
m^4 m raised to the power of 4 m raised to the fourth power
x^9 x to the power of 9 x to the ninth power

This table contains two special cases — when a number or variable is raised to the power of 2 or 3, the power can be read as squared or cubed, respectively.

Exercises