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If they were confused, they could reference the exponent rules sheet I had given them. For example, we can write 2∙2∙2∙2 in exponential notation as 2 to the power of 4, where 2 is the base and 4 is the exponent (or power). Click on the titles below to view each example. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed. Line 3: Apply exponents and use the Power Property to simplify. I explained to my Algebra 2 students that we needed to review our exponent rules before moving onto the next few topics we were going to cover (mainly radicals/rational exponents and exponentials/logarithms).

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Instead of re-teaching the rules that they have all seen before (and since forgotten), I just handed each student an exponent rules summary sheet, this exponent rules match-up activity, and a set of ABCDE cards printed on colored cardstock. I have never used it with students, but you can take a look at it on page 16 of this PDF. I have linked to a similar activity for more basic exponent rules at the end of this post! Raise the numerator and a denominator to the power of 4 using the quotient to a power property. I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered.

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These worksheets are perfect to teach, review, or reinforce Exponent skills! RULE 4: Quotient Property. For each rule, we'll give you the name of the rule, a definition of the rule, and a real example of how the rule will be applied. Exponent rules are one of those strange topics that I need to cover in Algebra 2 that aren't actually in the Algebra 2 standards because it is assumed that students mastered them when they were covered in the 8th grade standards. Begin fraction: 2 to the power of 4 open parenthesis x cubed close parenthesis to the power of 4 over 3 to the power of 4 y to the power of 4, end fraction. Definition: Any nonzero real number raised to a negative power will be one divided by the number raised to the positive power of the same number. Definition: Any nonzero real number raised to the power of zero will be 1. Begin fraction: 1 over y to the 6, end fraction. However, I find that many of my Algebra 2 students freeze up when they see negative exponents! Simplify the expression: Fraction: open parenthesis y squared close parenthesis cubed open parenthesis y squared close parenthesis to the power of 4 over open parenthesis y to the power of 5 close parenthesis to the power of 4 end fraction. I enjoyed this much more than a boring re-teaching of exponent rules. If you are teaching younger students or teaching exponent rules for the first time, the book also has a match-up activity on basic exponent rules.

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Y to the negative 7. I did find a copy of the activity uploaded online (page 7 of this pdf). 7 Rules for Exponents with Examples. Students are given a grid of 20 exponent rule problems. This module will review the properties of exponents that can be used to simplify expressions containing exponents. Example: RULE 2: Negative Property. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. For all examples below, assume that X and Y are nonzero real numbers and a and b are integers. ★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. Begin Fraction: Open parenthesis y to the 2 times 3 end superscript close parenthesis open parenthesis y to the 2 times 4 end superscript close parenthesis over y to the 5 times 4 end superscript end fraction. If you have trouble, check out the information in the module for help. Y to the 14 minus 20 end superscript. Subtract the exponents to simplify.

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Use the product property in the numerator. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. It was published by Cengage in 2011. I think my students benefited much more from it as well. This is called the "Match Up on Tricky Exponent Rules. " Though this was meant to be used as a worksheet, I decided to change things up a bit and make it a whole-class activity. Definition: If an exponent is raised to another exponent, you can multiply the exponents. They are intentionally designed to look very similar. Raise each factor to the power of 4 using the Product to a Power Property. Exponents can be a tricky subject to master – all these numbers raised to more numbers divided by other numbers and multiplied by the power of another number.

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In this article, we'll review 7 KEY Rules for Exponents along with an example of each. This resource binder has many more match-up activities in it for other topics that I look forward to using with students in the future. We discussed common pitfalls along the way.

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Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed! An exponent, also known as a power, indicates repeated multiplication of the same quantity. RULE 7: Power of a Quotient Property. See below what is included and feel free to view the preview file. Plus, they were able to immediately take what they had learned on one problem and apply it to the next. Tips, Instructions, & More are included. Write negative exponents as positive for final answer. Definition: When dividing two exponents with the same nonzero real number base, the answer will be the difference of the exponents with the same base. We can read this as 2 to the fourth power or 2 to the power of 4. Simplify the exponents: p cubed q to the power of 0.

Perfect for teaching & reviewing the laws and operations of Exponents. RULE 3: Product Property. I had each student work out the first problem on their own.

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