1. The problem is to understand how to correctly handle an exponent of 3 when it moves from the numerator (top) to the denominator (bottom) or vice versa. 2. The key rule is: when you move a term with an exponent from the numerator to the denominator, you change the sign of the exponent. 3. For example, if you have $a^3$ in the numerator and move it to the denominator, it becomes $a^{-3}$. 4. Similarly, if you have $a^{-3}$ in the denominator and move it to the numerator, it becomes $a^3$. 5. This is because $\frac{1}{a^3} = a^{-3}$ and $a^{-3} = \frac{1}{a^3}$. 6. So, the exponent does not literally "go to the bottom"; rather, the base moves to the denominator and the exponent changes sign. 7. This rule applies to any exponent, including 3. Final answer: Moving $a^3$ from numerator to denominator results in $a^{-3}$, and moving $a^{-3}$ from denominator to numerator results in $a^3$.