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
» » Simplifying Monomials

Simplifying Monomials

Now I want you to think about everything you've learned about the laws of exponents, multiplying monomial, and dividing monomials. When simplifying monomials, you will need to use ALL of this information.

This is fun, let's get started by looking at a quick summary of the properties of exponents that are described in the lessons above.

Properties of Exponents and Using the Order of Operations

If you have a combination of monomial expressions contained with in grouping symbols (parenthesis or brackets), these should be evaluated first.

Power of a Power Property - (This is similar to evaluating Exponents in the Order of Operations). Always evaluate a power of a power before moving on the problem.

Example of Power of a Power

Power of a power example

When you multiply monomial expressions, add the exponents of like bases.

Example of Multiplying Monomials

multiplying monomials

When you divide monomial expressions, subtract the exponents of like bases.

Example of Dividing Monomials

Dividing Monomials

Ok... that was just a quick review. If you need more of a review, please go back and review the entire lesson! Now let's look at a couple of examples!

Example 1

Simplifying monomials

Example 2

Simplifying monomials

Now you can see how we apply all of these rules to solving a more complex monomial expression! This is fun, isn't it?

Not Having Fun Yet? Need Help?

Enter your expression into the calculator below and click "simplify" to find the answer.

You Might Also Like These Exponent Lessons:

Like This Page?


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

Top of the Page

Follow Algebra-Class

Algebra Class E-course Members


Sign Up for Algebra Class E-courses

Click here to retrieve a lost password.

Search This Site

Custom Search

Algebra Class Courses

algebra ecourse

algebra 1 review course

pre algebra ecourse

Algebra Class
Most Popular Pages

algebra practice test

algebra cheat sheets

algebra formulas

What People Are Saying...

"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

Connect and Follow Algebra Class

Copyright © 2009-2015 Karin Hutchinson ALL RIGHTS RESERVED