7 Rules For Exponents With Examples
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. 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. An exponent, also known as a power, indicates repeated multiplication of the same quantity.
- Exponent rules review worksheet answer key figures
- Exponent rules practice worksheet
- Exponent rules review worksheet answer key lime
Exponent Rules Review Worksheet Answer Key Figures
After about a minute had passed, I had each student hold up the letter that corresponded to the answer they had gotten. 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. For all examples below, assume that X and Y are nonzero real numbers and a and b are integers. Students are given a grid of 20 exponent rule problems. 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. This module will review the properties of exponents that can be used to simplify expressions containing exponents. Use the product property in the numerator. 7 Rules for Exponents with Examples. Example: RULE 2: Negative Property. I have linked to a similar activity for more basic exponent rules at the end of this post! Definition: If an exponent is raised to another exponent, you can multiply the 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.
★ These worksheets cover all 9 laws of Exponents and may be used to glue in interactive notebooks, used as classwork, homework, quizzes, etc. 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. Subtract the exponents to simplify. I reminded them that they had worked with exponent rules previously in 8th grade, and I wanted to see what they remembered. Students knew they needed to be paying extra close attention to my explanations for the problems they had missed. However, I find that many of my Algebra 2 students freeze up when they see negative exponents!
Exponent Rules Practice Worksheet
Simplify the exponents: p cubed q to the power of 0. Write negative exponents as positive for final answer. 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. I thought it would make the perfect review activity for exponent rules for my Algebra 2 students. Tips, Instructions, & More are included. Simplify to the final expression: p cubed.
Simplify the expression: Open parenthesis begin fraction 2x cubed over 3y end fraction close parenthesis to the power of 4. 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. If they were confused, they could reference the exponent rules sheet I had given them. 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. Line 3: Apply exponents and use the Power Property to simplify. I did find a copy of the activity uploaded online (page 7 of this pdf). See below what is included and feel free to view the preview file. 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. Y to the negative 7. 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. 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 never used it with students, but you can take a look at it on page 16 of this PDF. I think my students benefited much more from it as well. I ran across this exponent rules match-up activity in the Algebra Activities Instructor's Resource Binder from Maria Andersen.
Exponent Rules Review Worksheet Answer Key Lime
I decided to use this exponent rules match-up activity in lieu of my normal exponent rules re-teaching lesson. Use the quotient property. 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.
★ Do your students need more practice and to learn all the Exponent Laws? Begin fraction: 16 x to the power of 12 over 81 y to the power of 4, end fraction. Raise the numerator and a denominator to the power of 4 using the quotient to a power property. RULE 3: Product Property. RULE 7: Power of a Quotient Property.
Use the zero exponent property: p cubed times 1. Next time you're faced with a challenging exponent question, keep these rules in mind and you'll be sure to succeed! 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 had each student work out the first problem on their own. They are intentionally designed to look very similar.