How to Prove the Power Rule for Negative Integer Exponents

This example dynamically demonstrates the proof of the power rule for negative integer exponents, visually illustrating the properties of exponentiation. Core math concepts include exponent operations, function characteristics, and mathematical induction. GeoGebra commands/objects used: n (variable), g (graphics), f (function), text1 (text annotation). Suitable for high school mathematics students and educational settings needing a deep understanding of exponent properties.