Exponents: Product Rule Interactive Visualization

①This GeoGebra example dynamically demonstrates the product rule of exponents (a^m × a^n = a^(m+n)), visually showing how exponents add when multiplying like bases. ②Core math concepts include exponential functions, exponent properties, parametric curves, piecewise functions, and percentages, with a focus on the algebraic rule behind exponent multiplication. ③Construction highlights: uses commands such as Text, If, Translate, and Sequence to build dynamic text and objects like expX1, expX2, expY1, expY2, and rule/expand objects that illustrate the derivation; colorFactor255 and colorFactor153 control visual styling; includes Title, zeros, xtop, ytop, and coefficient text objects for a complete interactive layout. ④Suitable for middle and high school students learning exponent rules, and useful for teachers in classroom demonstrations or for self-paced exploration, allowing users to adjust bases and exponents via sliders to see the product rule in action.