Simplify Rational Expressions with Exponents: Interactive Three-Variable Practic

① This GeoGebra example demonstrates how to automatically generate and simplify complex rational expressions involving three variables and exponents, providing an interactive environment for learners to practice algebraic simplification. ② Core mathematical concepts include simplification of rational expressions, exponent rules (product, quotient, power of a power), handling negative and zero exponents, and combining multi-variable algebraic terms. ③ Construction highlights: based on the summary, the commands RandomElement, Simplify, and LaTeX are used; objects include cexp, c1, c, d, e, f, text1, text2, pe, pf, a, and button1_1. RandomElement generates random exponent combinations, Simplify performs symbolic reduction, LaTeX renders expressions neatly, and the button triggers new problems. ④ Suitable for upper middle school to high school students, this resource is ideal for practicing algebra skills, classroom drills, or self-study, and can serve as a template for teachers to create randomized exercise sets.