Negative exponents are often taught as a rule to memorize: move the base across the fraction bar and make the exponent positive. But why does that work?
In this lesson, we use exponent patterns and the quotient rule to discover where negative exponents come from. By comparing exponent subtraction with expanded multiplication, you’ll see that negative exponents aren’t a shortcut or a trick—they are a natural result of the exponent rules you already know.
📚 Topics Covered:
• The quotient rule for exponents
• Why negative exponents appear
• Why bases seem to “switch” between the numerator and denominator
• Writing expressions with positive exponents
• Common mistakes with negative exponents
By the end of this lesson, you’ll understand not only how to simplify negative exponents, but why the rules work in the first place.
