Curated OER
Rational Exponents
Investigate rational exponents in this math lesson. Scholars make conjectures about the relationship between rational exponents and radicals. They then use their Ti-Nspire to simplify rational exponents.
Curated OER
Laws of Rational Exponents
Middle schoolers determine the value of rational numbers with fractional exponents. They solve problems containing positive and negative exponents. This one-page activity contains ten problems. The answers are not included.
Curated OER
Rational Exponents
For this worksheet, 11th graders solve 10 different problems that include various computations with radicals. Answers are not included.
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: Algebra Review: Properties of Exponents
Find a quick, concise but complete explanation of the properties of exponents. Examples are given and clearly explained for each property.
University of Waterloo (Canada)
University of Waterloo: Cemc: Math Circles: Exponents [Pdf]
This instructional activity 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.
Wolfram Research
Wolfram Math World: Exponent Laws
View a list of laws governing exponents, including special cases. Provides formulas, visuals, references, and citation information.
Texas A&M University
Wtamu Virtual Math Lab: Beginning Algebra: Exponents
A tutorial with many step-by-step examples on the laws of exponents. Explains the rationale for the rules, and gives practice exercises complete with answers and discussions.
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...
Purple Math
Purplemath: Simplifying Expressions With Exponents
A detailed look at how to simplify expressions with exponents and how to apply the rules for exponents. Lots of examples included. The third page provides an interactive widget to use for simplifying expressions with exponents.
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: Negative Exponents
Practice computing numbers with negative exponents. Exponents may be fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly and to watch a video or get hints.
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.
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.
Help Algebra
Help algebra.com: Simplifying Exponential Expressions
The laws of exponents are put to action in several examples. The examples demonstrate how to simplify expressions that contain both coefficients and variables.
Help Algebra
Help algebra.com: Exponents
Along with the definition of an exponent, this site also presents the properties of exponents. Several examples are used to demonstrate the properties. A summary of the laws of exponents is included for quick reference.
Help Algebra
Help algebra.com: Positive Integer Exponents
The Product of a Power and Power to a Power laws of exponents are introduced. Examples are included to demonstrate how to simply expressions with these laws.
Wyzant
Wyzant: Multiplying Variables
A short tutorial is presented to demonstrate the product of a power law of exponents. Students can practice the concept using the online worksheet.
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.
Interactive Mathematics
Interactive Mathematics: Powers
The laws of exponents are presented in a simple chart along with an example of how to determine like terms.
Oswego City School District
Regents Exam Prep Center: Positive, Negative, and Zero Exponents
At this site from Oswego City School District, students are shown the basic laws which govern simplifying positive, negative, and zero exponents. Examples are provided during the explanations, and then practice problems (and their...