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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. 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 all examples below, assume that X and Y are nonzero real numbers and a and b are integers. I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. Simplify the exponents: p cubed q to the power of 0. 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. RULE 7: Power of a Quotient Property.
These worksheets are perfect to teach, review, or reinforce Exponent skills! 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. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen. I have never used it with students, but you can take a look at it on page 16 of this PDF. I have linked to a similar activity for more basic exponent rules at the end of this post! Each of the expressions evaluates to one of 5 options (one of the options is none of these). Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered.
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. This is called the "Match Up on Tricky Exponent Rules. " 7 Rules for Exponents with Examples. We can read this as 2 to the fourth power or 2 to the power of 4. They are intentionally designed to look very similar. I think my students benefited much more from it as well. Example: RULE 2: Negative Property. After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. 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: 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. Subtract the exponents to simplify. Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. 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). I thought it would make the perfect review activity for exponent rules for my Algebra 2 students.
We discussed common pitfalls along the way. 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. 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. Begin fraction: 1 over y to the 6, end fraction. 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. Use the zero exponent property: p cubed times 1. I did find a copy of the activity uploaded online (page 7 of this pdf). I enjoyed this much more than a boring re-teaching of exponent rules. Definition: Any nonzero real number raised to the power of zero will be 1. Line 3: Apply exponents and use the Power Property to simplify.
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. RULE 3: Product Property. If you have trouble, check out the information in the module for help. 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. Perfect for teaching & reviewing the laws and operations of Exponents. Try this activity to test your skills. 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.
RULE 4: Quotient Property. See below what is included and feel free to view the preview file. 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. Definition: If an exponent is raised to another exponent, you can multiply the exponents.
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