Students are given a grid of 20 exponent rule problems. Begin fraction: 1 over y to the 6, end fraction. See below what is included and feel free to view the preview file. If they were confused, they could reference the exponent rules sheet I had given them.
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. I thought it would make the perfect review activity for exponent rules for my Algebra 2 students. This is called the "Match Up on Tricky Exponent Rules. " Raise each factor to the power of 4 using the Product to a Power Property. ★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. RULE 7: Power of a Quotient Property. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. 7 Rules for Exponents with Examples. Y to the negative 7. Tips, Instructions, & More are included. These worksheets are perfect to teach, review, or reinforce Exponent skills! I think my students benefited much more from it as well.
Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed! I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered. 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. 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.
This module will review the properties of exponents that can be used to simplify expressions containing exponents. I had each student work out the first problem on their own. Each of the expressions evaluates to one of 5 options (one of the options is none of these). Simplify the exponents: p cubed q to the power of 0. 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). Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. Y to the 14 minus 20 end superscript.
We discussed common pitfalls along the way. I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. However, I find that many of my Algebra 2 students freeze up when they see negative exponents! 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). RULE 3: Product Property. 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. 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. In this article, we'll review 7 KEY Rules for Exponents along with an example of each. Try this activity to test your skills. Use the quotient property. For all examples below, assume that X and Y are nonzero real numbers and a and b are integers. 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. They are intentionally designed to look very similar. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed.
Definition: Any nonzero real number raised to the power of zero will be 1. Raise the numerator and a denominator to the power of 4 using the quotient to a power property. Simplify to the final expression: p cubed. I have linked to a similar activity for more basic exponent rules at the end of this post!
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 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. 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. Student confidence grew with each question we worked through, and soon some students began working ahead. We can read this as 2 to the fourth power or 2 to the power of 4. I enjoyed this much more than a boring re-teaching of exponent rules. It was published by Cengage in 2011. Example: RULE 2: Negative Property. Definition: If an exponent is raised to another exponent, you can multiply the exponents. Click on the titles below to view each example. Perfect for teaching & reviewing the laws and operations of Exponents.
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. 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. If you have trouble, check out the information in the module for help. I did find a copy of the activity uploaded online (page 7 of this pdf). Use the product property in the numerator. ★ Do your students need more practice and to learn all the Exponent Laws?
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. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten.
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