EngageNY
Proofs of Laws of Exponents
Apply pupil understanding of exponent properties to prove the relationships. In the sixth lesson of the series, individuals are expected to prove relationships using mathematical statements and reasoning.
Virginia Department of Education
Exponents
Expand your knowledge of exponents with an activity that promotes critical thinking and comparison skills. Middle and high schoolers compare numbers written in expanded and exponential form and explain their strategies for solving...
EngageNY
Negative Exponents and the Laws of Exponents
Apply the properties of exponents to expressions with negative exponents. The fifth lesson in the series explains the meaning of negative exponents through an exploration of the properties taught in the previous lessons of the...
Del Mar College
Exponential and Radical Rules
So many rules and so little time. Make it easy and provide all the exponent and radical rules in one place as an easy reference guide. All of the properties come with several examples to show how the rules apply to different problems.
EngageNY
Multiplication of Numbers in Exponential Form
Develop a solid understanding of multiplication and division properties of exponents. Individuals expand exponential terms to discover the patterns and create the properties in the second installment in a series of 15. The activity...
Education Development Center
Geography of the Number Line
It's more than just numbers on a line, its an organizational, mental math machine to help learners understand the value of numbers. The tool is handy when introducing positive and negative integers to see their values and...
Del Mar College
Quick Reference Card
A neat and organized formula handout makes the circle go round, doesn't it? Full of higher algebra topics, formulas and rules, graphs and definitions—there is a way to support everyone in Algebra II or Pre-Calculus.
EngageNY
Estimating Quantities
Apply the concept of magnitude to estimate values and compare numbers. The ninth lesson of the 15-part series asks learners to write numbers to their next greatest power of 10 and then make comparisons. Scholars begin to understand the...
Royal Society of Chemistry
Multiples of Units (16-19)
It's a parade of prefixes! Chemistry scholars identify common prefixes used throughout the sciences using an interactive puzzle series. Learners solve puzzles by pairing the prefixes with the power of ten they represent.
SaveandInvest.org
The True Cost of Owning a Car
Almost every teen wants a car, but can they really afford one? The lesson walks pupils through how to identify a budget, find all of the costs associated with car ownership, and determine if they should buy the car or keep looking.
Texas Education Agency
Texas Gateway: Applying the Laws of Exponents: Verbal/symbolic
Given verbal and symbolic descriptions of problems involving exponents, the student will simplify the expressions using the laws of exponents.
Other
Brown Math: It's the Law the Laws of Exponents
Step-by-step explanations of the exponent laws including rules for combining powers and roots. Includes practice exercises.
Interactive Mathematics
Interactive Mathematics: Simplifying Expressions With Integral Exponents
The laws of exponents are presented using expressions containing both positive and negative exponents. Several examples and exercises are given to help practice the concept.
Mangahigh
Mangahigh: Number: Negative Exponents
This site provides students practice with the concept of negative exponents. Students can learn about the topic by completing an interactive tutorial. Students can then take a ten question timed test to practice the skill.
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.
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.
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.
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.
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...
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: 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: Negative Exponents of Variables
WyzAnt shows how to simplify variables that have negative exponents and then lets you practice with an online worksheet.
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 Fractions
WyzAnt reviews how to simplify fractional expressions that contain negative exponents and then lets you practice using the online worksheet.