Negative Exponents Explained

Learn the fundamental rule for working with negative exponents in this 14-minute mathematics tutorial that clarifies the common misconception between negative exponents and negative numbers. Discover why negative exponents relate to position rather than sign, and master the simple rule that transforms any negative exponent problem into a solvable expression. Explore the underlying mathematical reasoning behind the negative exponent rule and see how it applies when the base is a fraction or variable. Practice simplifying expressions where negative exponents appear in denominators, and learn to combine negative exponents with essential algebraic rules including the product rule, quotient rule, and power rules for powers, products, and quotients. Work through examples involving parentheses and roots to build comprehensive understanding of negative exponent manipulation across various mathematical contexts.