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