Home
#### Algebra and Pre-Algebra Lessons

Algebra 1 | Pre-Algebra | Practice Tests | Algebra Readiness Test
#### Algebra E-Course and Homework Information

Algebra E-course Info | Log In to Algebra E-course | Homework Calculator
#### Formulas and Cheat Sheets

Formulas | Algebra Cheat Sheets

Home » Exponents »
Multiplying Monomials

# Multiplying Monomials

### Laws of Exponents

### When you multiply monomials, you will need to perform two steps:

## Example 1

## Example 2

## Example 3

## Need Help With Your Homework?

## You Might Also Like These Exponent Lessons:

# Like This Page?

Multiplying monomials requires that you understand and can apply the laws of exponents. Let's quickly review the laws of exponents that will be needed.

**Multiplying Powers with the Same Base**- Add the exponents. For example: (a^{3 }) (a^{2}) = a^{5}**Power of a Power**- Multiply the exponents. For example: (a^{3})^{5}= a^{15}**Power of a Product**-find the power of each factor and multiply. For example: (3a)^{2}= 9a^{2}

- Multiply the coefficients (Numbers)
- Multiply the variables. (Use the laws of exponents when necessary)

Let's look at a few examples.

Each line of these examples shows a different step. I broke it down step by step for you to see the exact process. You will be able to do alot of this work mentally, which I will show you later on. I wanted you to understand each step, that's why these explanations are so long.

This first example shows how you use **multiplying powers with the same base** in order to multiply monomials.

This second example will utilize the **Power of a Product** property in order to simplify the expression.

One more example, but this time I'm not going to show each individual step. As you master this skill, this is the way in which you will multiply monomials. It's actually pretty quick!

Enter your monomial or polynomial expression and click "simplify" to see the correct answer.

**Exponents Unit:**

Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Custom Search

Most Popular Pages

*"I'd like to start off by relaying my sincerest gratitude for your dedication in teaching algebra. Your methodology is by far the simplest to follow, primarily because you take the time to include the small steps in between that most other teachers leave out.*

*It helps to know why you are doing something. I am 45 and heading to college to get my BS in Business. I need to brush up, hence the visit to your site. Great Job!"*

Jimmy - United States

*"I stumbled onto your site after I found out that I needed to use some fundamental algebra for an assignment. Turns out I had forgotten some things and your great site helped me remember them like "that" (snap of fingers). The organization of the site let me find exactly what I was looking for so easily. Kudos to you for maintaining such a great resource for students of all ages!"*

Tom - United States

*"I just wanted to write and basically thank you for making such a wonderful website! I'm 20 years old and about to take a basic placement test for college. I wanted to brush up on my Algebra skills and I stumbled upon your site. I'm amazed at how simple you make it and how fast I'm remembering Algebra! I don't remember getting most of the answers right when I had an actual teacher in front of me teaching this. Thanks a lot!"*

Elizabeth - United States

*"I am a pensioner living in South Africa. I stumbled on your website, the best thing that could ever happen to me! Your course in Algebra has helped me a lot to better understand the different concepts. Thank you very much for sharing your skills for teaching math to even people like me. Please do not stop, as I am sure that your teachings have helped thousands of people like me all over the world."*

Noel - South Africa

*This is an amazing program. In one weekend I used it to teach my Grade 9 daughter most of the introductory topics in Linear Relations. I took her up to Rate of Change and now she can do her homework by herself.*

Reg - United States

- FREE Solving Equations E-course
- Algebra Class E-course
- Algebra Class Products
- Algebra Practice Test
- Algebra Readiness Test
- Homework Answer Calculator
- Practice Worksheets

- Site Map
- Pre-algebra Refresher
- Solving Equations
- Graphing Equations
- Writing Equations
- Systems of Equations
- Inequalities
- Functions
- Exponents & Monomials
- Polynomials
- Quadratic Equations
- Algebra 1 Final Exam

? ## Subscribe To This Site

Then why not use the button below, to add us to your favorite bookmarking service?

Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED

## Comments

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