Click on the titles below to view each example. They are intentionally designed to look very similar. I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered. 7 Rules for Exponents with Examples. Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. 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.
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. Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. 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 ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. Students are given a grid of 20 exponent rule problems. Line 3: Apply exponents and use the Power Property to simplify.
Student confidence grew with each question we worked through, and soon some students began working ahead. This is called the "Match Up on Tricky Exponent Rules. " 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. RULE 3: Product Property. ★ Do your students need more practice and to learn all the Exponent Laws? Begin fraction: 1 over y to the 6, 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. 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). Try this activity to test your skills. This module will review the properties of exponents that can be used to simplify expressions containing exponents. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed. I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. 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. Example: RULE 2: Negative Property.
I think my students benefited much more from it as well. 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. 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 thought it would make the perfect review activity for exponent rules for my Algebra 2 students. 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. An exponent, also known as a power, indicates repeated multiplication of the same quantity. Y to the negative 7. Definition: Any nonzero real number raised to the power of zero will be 1. These worksheets are perfect to teach, review, or reinforce Exponent skills! RULE 7: Power of a Quotient Property. Raise each factor to the power of 4 using the Product to a Power Property.
RULE 4: Quotient Property. Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed! Simplify the exponents: p cubed q to the power of 0. See below what is included and feel free to view the preview file. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. 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. 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 they were confused, they could reference the exponent rules sheet I had given them. Raise the numerator and a denominator to the power of 4 using the quotient to a power property.
Use the quotient property. In this article, we'll review 7 KEY Rules for Exponents along with an example of each. 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. Each of the expressions evaluates to one of 5 options (one of the options is none of these). We discussed common pitfalls along the way. I did find a copy of the activity uploaded online (page 7 of this pdf). Subtract the exponents to simplify. 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. 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.
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