Negative Exponents in Division

Understanding negative exponents can seem daunting, but they are a powerful tool in mathematics that simplify expressions and solve problems efficiently. Negative exponents represent the reciprocal of the base raised to the opposite positive exponent. For instance, $a^{-n}=\frac{1}{a^n}$a−n=an1​. This concept is particularly useful in division. When dividing expressions with the same base, negative exponents provide a clear method for simplification. Let’s explore this further, dissecting examples and applications to make this concept digestible and engaging.