# Using the Laws of Exponents

Before you begin working with monomials and polynomials, you will
need to understand the laws of exponents. There are three laws or
properties that I am going to discuss in this lesson.

We will look at the following properties:

- Multiplying Powers with the Same Base

- Power of a Power Property

- Power of a Product Property

For each of the three laws, we will write a few examples in expanded
form. This will help you to understand why the law works. The I will
define the property. Finally we will look at a few examples.

Ok... let's get started!

## Multiplying Powers with the Same Base

## Tip

When a term does not contain an exponent, it is assumed to be 1.

For example:

3 = 3^{1} y = y^{1} r = r^{1}

Power of a Power Property

I know that these properties can be confusing. If you need direct video instruction, check out the *Algebra Class E-course.*

## Power of a Product Property

Those are the only three properties that you'll need to remember for
this unit! As you complete the practice problems below, refer back to
the properties if needed!

## Practice Problems

Directions: For each problem identify the property used. Then simplify to lowest terms.

## Solutions

Great Job! Now let's move onto learning about monomials!

- Home
> -
Exponents
> -
Laws of Exponents

Need More Help With Your Algebra Studies?

Get access to hundreds of video examples and practice problems with your subscription!

Click here for more information on our affordable subscription options.

Not ready to subscribe? Register for our FREE Pre-Algebra Refresher course.

## Comments

We would love to hear what you have to say about this page!