## Dictionary Definition

The Merriam-Webster dictionary defines a base as "a number (such as 5 in 5^{6.44}or 5

^{7}) that is raised to a power."

## Understanding Bases in Powers

A power is the product of multiplying a number by itself. A power consists of a base and an exponent. For example,**3**is a power.

^{2}**3**is the base and

**2**is the exponent.

This means that

**3**(the base) is multiplied by itself

**2**(the exponent) times.

## Real Examples of Bases in Powers

Some real examples of bases in powers are given below.- The power below has a base of
**4**:

- The power below has a base of
**2**:

- The base can also be a letter. The power below has a base of
**a**:

## Powers of 10

A power of 10 has a base of 10 and an exponent:10^{1} = 10

10^{2} = 10 × 10 = 100

10^{3} = 10 × 10 × 10 = 1,000

10^{3} = 10 × 10 × 10 × 10 = 10,000

## You might also like...

#### Help Us Improve Mathematics Monster

- Do you disagree with something on this page?
- Did you spot a typo?

__this form__.

#### Find Us Quicker!

- When using a search engine (e.g., Google, Bing), you will find Mathematics Monster quicker if you add
**#mm**to your search term.

#### Share This Page

If you like Mathematics Monster (or this page in particular), please link to it or share it with others.

If you do, __please tell us__. It helps us a lot!

#### Create a QR Code

Use our handy widget to create a QR code for this page...or any page.