Stanford University
Stanford University: Rational Exponents
A brief description of rational exponents and their meaning.
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...
Oswego City School District
Regents Exam Prep Center: Fractional Exponents
Oswego City School District provides the rules for working with fractional (rational) exponents.
![Kent State University: Solving Equations Involving Rational Exponents [Pdf] Handout](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Kent State University: Solving Equations Involving Rational Exponents [Pdf] Handout")
Kent State University
Kent State University: Solving Equations Involving Rational Exponents [Pdf]
A helpful resource for students to help them understand working with rational exponents. Explains what they are and the properties to know when solving problems, and provides nine example problems with detailed solutions.
Purple Math
Purplemath: Fractional (Rational) Exponents
A good explanation of rational exponents and how to compute with them.
Paul Dawkins
Paul's Online Notes: Rational Exponents: Practice Problems
Practice exercise reviews rational exponents including how to simplify or evaluate expressions and write the answer with either positive or no exponents.
Cool Math
Coolmath: Fractional Exponents
This prealgebra tutorial explains fractional (rational) exponents.
Science Struck
Science Struck: Adding Exponents
Explains how to add exponents as well as other aspects of exponents including positive and negative exponents, rational exponents, zero exponents, power of power, and division of exponents. Includes practice problems with answers provided.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Checking a Calculation of a Decimal Exponent
The purpose of the task is to connect properties of fractional exponents with ordering of real numbers. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: F le.a & N Rn Extending the Definitions of Exponents 2
A biology student is studying bacterial growth. She was surprised to find that the population of the bacteria doubled every hour. Aligns with the F-LE.A and N-RN.A.1 standards.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.1: Evaluating Exponential Expressions
The goal of this task is to use properties of exponents for whole numbers in order to explain how expressions with fractional exponents are defined. Aligns with the N-RN.A.1 standard.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.2: Kepler's Third Law of Motion
The purpose of this task is to solve some expressions requiring fractional exponents in the modeling context of planetary motion. Aligns with N-RN.A.2.
Illustrative Mathematics
Illustrative Mathematics: N rn.a.1: Evaluating a Special Exponential Expression
The purpose of this task is to study the rules of exponents in the context of trying to make sense of a challenging mathematical expression. Teachers will critically analyze each student's argument. Aligns with N-RN.A.1.
Khan Academy
Khan Academy: Properties of Exponents Challenge (Rational Exponents)
Rewrite some elaborate exponential expressions that involve fractional exponents and radicals. 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 (Rational Exponents)
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: 4th & 5th Roots
Radicals are also known as roots. Evaluate high-degree radicals. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Fractional Exponents
Evaluate numerical expressions with rational exponents, and convert between equivalent forms of exponential and radical expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video...
Khan Academy
Khan Academy: Rational Exponents Challenge
Choose equivalent forms of radical and exponential expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Simplify Square Root Expressions
Practice simplifying expressions with multiple radical terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Unit Fraction Exponents
Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Integrated Publishing
Integrated Publishing: Fractional Exponents
An overview of fractional (i.e., rational) exponents, including an example and practice problems with solutions.
Khan Academy
Khan Academy: Unit Fraction Exponents
Evaluate numerical expressions with unit-fraction exponents or radicals, and convert between the two forms of representations.
Khan Academy
Khan Academy: Rational Exponents Challenge
Choose equivalent forms of radical and exponential expressions.
Khan Academy
Khan Academy: Properties of Exponents Intro (Rational Exponents)
Rewrite exponential expressions (where the exponent can be a fraction) using the properties of exponents.