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I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. I did find a copy of the activity uploaded online (page 7 of this pdf). Students knew they needed to be paying extra close attention to my explanations for the problems they had missed. Y to the negative 7. 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. 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.
This is called the "Match Up on Tricky Exponent Rules. " I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. Raise each factor to the power of 4 using the Product to a Power Property. Use the product property in the numerator. Write negative exponents as positive for final answer. Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. 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. Plus, they were able to immediately take what they had learned on one problem and apply it to the next. ★ Do your students need more practice and to learn all the Exponent Laws? Y to the 14 minus 20 end superscript. Students are given a grid of 20 exponent rule problems. If they were confused, they could reference the exponent rules sheet I had given them. Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed!
★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. Example: RULE 2: Negative Property. 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). If you have trouble, check out the information in the module for help. Definition: If the quotient of two nonzero real numbers are being raised to an exponent, you can distribute the exponent to each individual factor and divide individually. I thought it would make the perfect review activity for exponent rules for my Algebra 2 students. See below what is included and feel free to view the preview file. Definition: If an exponent is raised to another exponent, you can multiply the exponents. 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). This module will review the properties of exponents that can be used to simplify expressions containing exponents.
I have never used it with students, but you can take a look at it on page 16 of this PDF. 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. In this article, we'll review 7 KEY Rules for Exponents along with an example of each. Use the product property and add the exponents of the same bases: p to the power of 6 plus negative 9 end superscript q to the power of negative 2 plus 2 end superscript. 7 Rules for Exponents with Examples. 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: When dividing two exponents with the same nonzero real number base, the answer will be the difference of the exponents with the same base. Click on the titles below to view each example. They are intentionally designed to look very similar. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. RULE 3: Product Property. Tips, Instructions, & More are included. 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.
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