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Curated OER
Newton's Law of Cooling
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.
Mathematics Assessment Project
“Ponzi” Pyramid Schemes
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Properties of Exponents
Thirty-seven problems present a variety of practice applying the various properties of exponents in different situations. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the...
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Rules of Exponents
Fifty-two problems present a variety of practice completing, evaluating and simplifying expressions and equations that have exponents in them. They are given with each step to the solution cleverly revealed one at a time. You can work...
Oswego City School District
Regents Exam Prep Center: Discovering the Laws of Rational Exponents
This online tutorial explains how the laws of rational exponents are used to simplify expressions. The examples show exactly how the process is done. Click on the "Topic Index" to find related lessons, practice activities, and teacher...
Stefan Warner and Steven R. Costenoble
Finite Mathematics & Applied Calculus: Exponents and Radicals
This 2-part tutorial investigates exponents and radicals. Students learn about the concepts through class notes and practice problems. Topics include types of exponents, rational form, and exponential form. Radicals are discussed in Part...
Khan Academy
Khan Academy: Algebra I: Multiply & Divide Powers (Integer Exponents)
Rewrite products or quotients of powers, including negative powers. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Properties of Exponents Challenge (Integer Exponents)
A quiz that covers all exponent properties using integer exponents.
Wyzant
Wyzant: Variables of Exponents
The Power of a Power law is demonstrated by WyzAnt with several examples using numbers and variables. An online worksheet is available for extra practice.
Math.com
Math.com: The Basics of Algebra Unit Quiz
The unit quiz consists of eight matching questions that examine algebraic expressions and laws of exponents. Solutions are provided.
Math Notes and Math Tests
Pre Calculus Notes: (More) Properties of Logs [Pdf]
The resource investigates properties of logarithmic functions. Topics examined are laws of exponents, expanding logarithmic expressions, condensing logarithmic expressions, and the change of base formula. Class notes and examples are...
Wyzant
Wyzant: Negative Exponents Worksheet
At this site from WyzAnt, students are given twenty questions to solve, each involving a number base raised to a negative number exponent. A space for the students answer is provided before having the site grade the worksheet. Questions...
Wyzant
Wyzant: Variables With Negative Exponents Worksheet
At this site from WyzAnt, students are to simplify ten questions where variable bases are raised to negative exponents. An answer sheet is provided so that students can check their solutions once they have finished.
Wyzant
Wyzant: Fractions With Negative Exponents Worksheet
Ten examples are provided from WyzAnt (along with an answer sheet) for the students to practice simplifying problems with negative exponents. The first five examples have bases which are not fractions while the last half of the examples...
Wyzant
Wyzant: Simplifying Negative Exponents
WyzAnt provides a simple tutorial to demonstrate how negative exponents are simplified. An online worksheet is provided for extra practice.
Wyzant
Wyzant: Negative Exponents of Variables
WyzAnt shows how to simplify variables that have negative exponents and then lets you practice with an online learning exercise.
Wyzant
Wyzant: Polynomial Exponents
WyzAnt shows the difference in taking the powers of products, quotients, and sums. An online worksheet is provided for extra practice.
Khan Academy
Khan Academy: Powers of Products and Quotients
Rewrite powers of products and quotients. Students receive immediate feedback and have the opportunity to try questions repeatedly and to watch a video or get hints.
Khan Academy
Khan Academy: Powers of Powers
Rewrite powers of powers into equivalent expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or get hints.
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: Exponents [Pdf]
This worksheet provides exercises in writing expressions in exponential form, multiplying and dividing powers, and working with zero and negative exponents. A series of challenging word problems are included.
Khan Academy
Khan Academy: Divide Powers
Rewrite quotients of powers with the same base. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or get hints.
Khan Academy
Khan Academy: Multiply Powers
Rewrite products of powers with the same base. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or get hints.
Common Core Sheets
Common Core Sheets: Expressions & Equations 8.ee.1 Worksheets
Print or create worksheets to assess students' understanding of radicals and integer exponents.