base

the value that is raised to a power when a number is written in exponential notation.  In the term 53, 5 is the base and 3 is the exponent.

exponent

the value that indicates the number of times another value is multiplied by itself in exponential notation. The exponent, also called the power, is written in superscript. In the term 53, 5 is the base and 3 is the exponent.

exponential notation

a condensed way of expressing repeated multiplication of a value by itself. Exponential notation consists of a base and an exponent. In the exponential term 53, 5 is the base and 3 is the exponent. This is a shorthand way of writing 5 5 5. Also called exponential form.

factor

for any number x, the numbers that can be evenly divided into x are called factors of x. For example, the number 20 has the factors 1, 2, 4, 5, 10, and 20.

raised to a power

a way of describing the exponent in exponential notation. We can say the base is “raised to the power” of the exponent.  For example we read x5 as “x raised to the 5th power.”