Geogebra Act 2: Product of Powers (w/ Negative Exponents)

Review of Product (Multiplication) of Powers Rule

Explore this property by doing the following. 1. Begin by moving the color sliders, to increase of decrease the exponents. 2. Then set a value for x moving the green slider. 3. Click on the box for "Substitute for x", the product of powers will appear 3. Lastly click on the "Evaluate" box to see the final work and answer. 4. Move the green slider to see more problems [try positive, negative numbers and also zero]. 5. Answer the question below and TURN IN (it will automatically connect to Google Classroom).

In a short summary, explain how the Product of Powers Property works? In other words write a conjecture for this property.