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

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.

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...

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...

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...

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...

This activity consists of three exercises in which learners sketch the graphs of various power functions on the same axes. They use their sketches to make comparisons and observations which lead to generalizations about the graphs...

Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.  

Evaluating and analyzing exponential functions will help your archaeologists find the amount of Carbon 14 remaining in a plant in this real-life task centered on carbon dating. Learners will also be introduced to the concept of half-life.

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...

"Why is any number raised to the zero power equal to one?" A good question and an even better answer

Find a quick, concise explanation of what a zero exponent is. An example is given and clearly explained.

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...

Students will solve exponential functions with zero and negative exponents. The problems involve the use of reciprocals and graphs.

The lesson from WyzAnt begins with a review of the definition of exponents then proceeds to several examples which show the definition in action. Special cases such as those involving negative bases as well as the zero exponent and the...

Students learn about the laws of exponents through this algebra resource. A learning tutorial and practice problems to check for comprehension of the math concepts are included.

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.

These StudyCard stacks cover definitions of natural number exponents, zero, and negative integer exponents, as well as the First, Second, Third Laws of Exponents.

Here is a site that clearly and thoroughly explains many topics involving negative exponents, including the power of a quotient rule, the quotient of two powers rule, the definition of a negative exponent, and scientific notation. There...

In this activity, students compare powers and decide whether to add or subtract values to a cumulative total so that the total stays as close to zero as possible.

Purplemath does a wonderful job of explaining logarithms. The lesson begins with a discussion of the relationship between logarithms and exponentials and very simple examples. The lesson gives important information regarding logarithms...