# 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 = 31        y = y1        r = r1

## 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! 