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!



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!


    Exponents & Monomials Unit


  • A review of Exponents

  • Laws of Exponents

  • What is a Monomial?

  • Multiplying Monomials

  • Dividing Monomials

  • Simplifying Monomials   You Are Here!

  • Negative and Zero Exponents    Your Next Lesson!

  • An Introduction to Scientific Notation.

  • Multiplying and Dividing with Scientific Notation



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