Simplifying Monomials


Now I want you to think about everything you've learned about the laws of exponents, multiplying monomials, 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! Don't forget to visit the Algebra Class E-courses for additional help.



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



  • 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

    monomials



    Example 2

    simplifying monomials example

    Now you can see how we apply all of these rules to solving a more complex monomial expression! This is fun, isn't it? Are you ready to try a few on your own? Here's a couple of practice problems!





    Practice Problems


    monomials practice




    Answer Key

    Problem 1

    monomials solutions

    Problem 2

    monomials answers


    Great Job! Are you ready to move onto zero and negative exponents? See you there!



    Like Us on Facebook



    Algebra Class E-course Members

    Username:
    Password:

    Sign Up for Algebra Class E-courses

    Search This Site

    Custom Search

    Having Trouble with Your Homework?

    algebrator




    [ ?] Subscribe To This Site

    XML RSS
    Add to Google
    Add to My Yahoo!
    Add to My MSN
    Add to Newsgator
    Subscribe with Bloglines


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

    Copyright© Algebra-class.com 2009.