Final answer:
The question regards simplifying expressions with exponents during division, following mathematical rules such as the division of exponentials, which involves subtracting the exponents of like bases.
Step-by-step explanation:
The question is asking about the simplification of expressions with exponents particularly when division is involved. In mathematics, when you are simplifying expressions with exponents that involve division, there are specific rules you must follow to ensure that the expression is simplified correctly. One of these rules is the division of exponentials which states that you should divide the base terms normally and subtract the exponents of like bases.
For example, a³ / a² would simplify to a because you subtract the exponent in the denominator from the exponent in the numerator (3 - 2 = 1), leaving us with a¹ which is simply a. Additionally, negative exponents indicate that the term should be flipped to the denominator or represent a division. This becomes particularly useful when simplifying complex algebraic expressions involving powers.