The properties of exponents are all linked together and it is your mathematicians' job to discover and apply those rules. The comprehensive instructional activity begins with a pre-assessment task to check for prior knowledge and then...

Scientist work with negative integer exponents all the time. Here, participants will learn how to relate negative exponents to time and to generate equivalent numerical expressions. Learners will apply the properties of integer exponents...

Don't think negatively about exponents. Young mathematicians dissect a fictional conversation between pupils trying to evaluate an expression with a negative exponent. This allows them to understand the meaning of negative exponents.

Introduce the concept of exponential functions with an activity that extends the definition of exponents to include rational values. Start with a doubling function at integer values of time, then expand table to include frational time...

The djinni in this resource offers gold coins. Learners use the properties of exponents to make their decision as one offer increases exponentially. This makes a great group project. As the commentary suggests, start by having groups...

It's rational to root for your class to learn about exponents. Scholars study rational exponents by reading a fictional dialogue between classmates. They analyze the conversation to understand the connection between rational exponents...

In a writing prompt, learners are asked to check the calculation of a decimal exponent without a calculator. Use as an opener or assessment after studying fractional exponents. Requires a strong understanding of exponents and roots to...

Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...

How high will it bounce? Groups determine the height different balls bounce off of different surfaces. By performing the necessary calculations, they determine the initial and final momentum of the balls. The included worksheet provides...

This task focuses on using the verbal definition of the logarithm to understand that a logarithm is an exponent. Learners complete six computational exercises using the inverse properties of logs and exponents and answer two...

Learners are given a logarithmic function and its inverse exponential function. The task, which is to graph both compositions of the two functions, uses the inverse nature of exponents and logarithms to generalize about the properties of...

Can you visualize one billionth of a meter? It's not easy to understand the scale of a nanometer. Learners use a hands-on lesson to develop an understanding of the size of a nanometer in comparison to common objects. They walk away with...

You would think that humans make up more mass than ants do on this planet, but think again, and this time by performing calculations. Middle schoolers use scientific notation to compute and compare the estimated total mass of all humans...

Find a quick, concise but complete explanation of the properties of exponents. Examples are given and clearly explained for each property.

Twenty problems present a variety of practice applying the various properties of rational 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...

This site reviews the basic properties of exponents, and explains rational exponents and exponential functions, including those with base "e." Provides examples and lots of exercises.

Use these examples to learn the power to a power exponent rule. The steps are easy to follow and will help students remember the laws of 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.

Site provides two sets of problems about exponents and exponential functions which are moderately difficult. Site provides hints for the problems and solutions with explanations for students.

Site provides five sets of advanced exponential function problems, along with hints and solutions to the problems. A good challenge at the advanced level for students.

This lesson will teach you how to apply the Power of Products rule to exponential expressions. The variety of examples will help you use this rule for similar problems.

Gives 3 different links to properties and examples that deal with exponential functions.Excellent learning tool.

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.

These questions test knowledge of domain and range of exponential functions, properties of exponents, and population growth and compound interest modeled by exponential functions. Questions are true/false and multiple choice; solutions...