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Y to the negative 7. Subtract the exponents to simplify. I think my students benefited much more from it as well. Begin fraction: 1 over y to the 6, end fraction. ★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. 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. 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. RULE 3: Product Property.
This is called the "Match Up on Tricky Exponent Rules. " Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. It was published by Cengage in 2011. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. I did find a copy of the activity uploaded online (page 7 of this pdf).
Definition: Any nonzero real number raised to the power of zero will be 1. This module will review the properties of exponents that can be used to simplify expressions containing exponents. Click on the titles below to view each example. 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. ★ Do your students need more practice and to learn all the Exponent Laws? Plus, they were able to immediately take what they had learned on one problem and apply it to the next. 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. 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. Tips, Instructions, & More are included. 7 Rules for Exponents with Examples.
These worksheets are perfect to teach, review, or reinforce Exponent skills! Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed! I have never used it with students, but you can take a look at it on page 16 of this PDF. RULE 7: Power of a Quotient Property. Students are given a grid of 20 exponent rule problems. 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. 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). See below what is included and feel free to view the preview file. 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. For all examples below, assume that X and Y are nonzero real numbers and a and b are integers.
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. 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. I have linked to a similar activity for more basic exponent rules at the end of this post! Raise each factor to the power of 4 using the Product to a Power Property. Try this activity to test your skills. I enjoyed this much more than a boring re-teaching of exponent rules. 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 thought it would make the perfect review activity for exponent rules for my Algebra 2 students. Y to the 14 minus 20 end superscript. Simplify the exponents: p cubed q to the power of 0. Write negative exponents as positive for final answer.
Example: RULE 2: Negative Property. Simplify to the final expression: p cubed. However, I find that many of my Algebra 2 students freeze up when they see negative exponents! I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. Use the quotient property. Each of the expressions evaluates to one of 5 options (one of the options is none of these). I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered. Simplify the expression: open parenthesis p to the power of 9 q to the power of negative two close parenthesis open parenthesis p to the power of negative six q squared close parenthesis. 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. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed. Student confidence grew with each question we worked through, and soon some students began working ahead. An exponent, also known as a power, indicates repeated multiplication of the same quantity. Use the zero exponent property: p cubed times 1. We discussed common pitfalls along the way.
If you have trouble, check out the information in the module for help. RULE 4: Quotient Property. Use the product property in the numerator. 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: If an exponent is raised to another exponent, you can multiply the exponents. 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). In this article, we'll review 7 KEY Rules for Exponents along with an example of each. 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.
They are intentionally designed to look very similar. Line 3: Apply exponents and use the Power Property to simplify. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. We can read this as 2 to the fourth power or 2 to the power of 4.
I had each student work out the first problem on their own. Raise the numerator and a denominator to the power of 4 using the quotient to a power property. Perfect for teaching & reviewing the laws and operations of Exponents. This gave me a chance to get a feel for how well the class understood that type of question before I worked out the question on my Wacom tablet.
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