Which property would you use to simplify this monomial division problem? \( \frac{a^{3}}{a^{8}} \) Power of a Quotient Property Quotient of a Power Propety Power of a Product Property Product of a Power Property

To simplify the expression \( \frac{a^{3}}{a^{8}} \), you would use the Quotient of a Power Property. This property states that when you divide two powers with the same base, you subtract the exponents: \( a^{m} / a^{n} = a^{m-n} \). So here, you would calculate \( a^{3-8} = a^{-5} \). Now that we have our simplified expression, let's talk about the excitement of negative exponents! They might seem worrisome at first, but remember that a negative exponent indicates the reciprocal, so \( a^{-5} = \frac{1}{a^{5}} \). Voilà! You've turned a simple division problem into an elegant expression.