How do you simplify the division of exponents?

When simplifying the division of exponents, the correct approach is to subtract the exponent of the denominator from the exponent of the numerator. This is based on the law of exponents which states that when you divide like bases, you can subtract the exponents. For example, when you have a^m ÷ a^n, the result simplifies to a^(m-n).

This subtraction rule is crucial in various math and science applications. It helps streamline calculations involving powers, allowing for efficient problem-solving and a clearer understanding of how numbers interact under division.