Using the Laws of ExponentsBefore 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! Multiplying Powers with the Same Base
TipWhen a term does not contain an exponent, it is assumed to be 1. For example: 3 = 31 y = y1 r = r1 Power of a Power Property
I know that these properties can be confusing. If you need direct video instruction, check out the Algebra Class E-course. Power of a Product PropertyBefore 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! Practice ProblemsDirections: For each problem identify the property used. Then simplify to lowest terms.
Answer Key
Great Job! Now let's move onto Multiplying Monomials! Exponents & Monomials Unit |
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