This PowerPoint lesson was designed for algebra students to review properties of exponents that they should have been exposed to (and technically learned) in previous years of mathematics. The tables are set up to help students understand why the properties exist. I emphasize that shortcuts in mathematical computations are not allowed unless they are understood.
I use this PowerPoint to discuss what things mean and represent, especially the difference between (x^2)^3 versus (x^3)^2. Although these simplify to the same expression, it is important students understand the difference in expanding and what the power to power property means.
The preview PPS shows all the slides that are offered in the complete PPT lesson. Please check it out to fully understand how each property is "discovered" through expanding and simplifying problems. It will be your job as the teacher to discuss the problems and make sure students understand what the expansions mean instead of simply telling them the properties. I try to encourage my students to understand so they aren't required to memorize the properties.
The guided notes/scaffolded notes page that was created for this lesson is available at: