What is the correct expression for the quotient power with the same base?

When working with exponents that have the same base, the rule that applies is known as the quotient power rule. This rule states that when you divide two expressions with the same base, you can simplify the expression by subtracting the exponent of the denominator from the exponent of the numerator.

For example, if you have ( a^m ) divided by ( a^n ), the expression simplifies to ( a^{m-n} ). This clearly illustrates that to find the result of division with the same base, we take the exponent in the numerator and subtract the exponent in the denominator.

This principle helps in simplifying expressions involving exponents and is fundamental in algebraic manipulations. Thus, using this rule correctly leads us to the conclusion that the proper operation for the quotient of powers with the same base is indeed to subtract the exponents.