# Powers

## What Is a Power?

A power is the product of multiplying a number (or other quantity) by itself.

For example, 32 is a power of 3. 32 means that 3 will be multiplied by itself 2 times: ### Dictionary Definition

The Oxford English Dictionary defines a power as "a quantity obtained by multiplying a given quantity by itself one or more times, the number of times the given quantity appears as a factor of the resulting product being indicated as the exponent of that quantity."

## The Parts of a Power

A power consists of a base and an exponent: • 3 is called the base. It is the number that is multiplying itself.

• 2 is called the exponent. It tells you how many times the base is multiplying itself.

## Real Examples of Powers

Some real examples of powers are given below. (Don't forget: the base is multiplied by itself as many times as indicated by the exponent). Powers can contain letters (or symbols) as well as numbers.

• The base can be a letter instead of a number: • The exponent can be a letter: • Both the base and the exponent can be letters: 