# 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!

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Laws of Exponents

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