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:
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.
3 = 31 y = y1 r = r1
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!
Sign Up for Algebra Class E-courses
I am a homeschool mom of five who struggled with finding a solid algebra program for my older boys until I came upon your algebra class. Your tutorials are straight forward and detailed. Your assignments are designed in such a way that we can spend extra time on what my children need to and move on when they understand something more easily.
I am a math-lover myself and am excited that you have finished part 2 of this course. My boys are understanding algebra in a way that they never were able to with other courses due to the detail and care that are in each of your lessons. I also appreciate that you are available to answer questions.
Finding your site was such a blessing to me! I have been out of school for 13+ years and finding out that my next course would be Algebra scared me to death!
I have now found a new love of learning for algebra--something I never thought would happen. After indulging in the section of functions, I decided to explore other areas that I have just learned. It made areas such as inequalities and graphing so much easier to grasp!
I just wanted to thank you for your passion and dedication for helping others! I also love the fact that you add in some humor, too. I have shared your site with classmates and hope they take an opportunity to look into it as well! Thank you----
With greatest respect,
I just spent 3 hours doing Unit 5 Lessons 1 & 2 because that is what I am learning at school this week, and cannot believe my progress. I so wish I would have found your course sooner. It is amazing. You explain everything in such clarity it's like night and day. Thank you so much for getting me started. I am so happy you can't believe it. You are the best instructor ever!
Copyright © 2009-2014 Karin Hutchinson ALL RIGHTS RESERVED