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Home » Exponents »
Laws of Exponents

# Using the Laws of Exponents

## Multiplying Powers with the Same Base

## Tip

## Power of a Power Property

## Power of a Product Property

## Practice Problems

## Answer Key

## You Might Also Like These Exponent Lessons:

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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!

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}

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

Before we start this one, let's define the word **product**.

A **product** is the **answer** to a multiplication problem.

So, power of a product means that we are raising a multiplication problem to a power. Take a look at this example:

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!

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

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

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