| 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. |
| 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.” |
| power of a power | raising a value written in exponential notation to a power as in (x2)3 |
| product of powers | multiplication of two or more values in exponential form that have the same base—the base stays the same and the exponents are added |
| quotient of powers | division of two or more values in exponential form that have the same base—the base stays the same and the exponent in the denominator is subtracted from the exponent in the numerator |