Final Answer:
The correct application of the product rule for exponents is represented by option c) b^(m-n).
Step-by-step explanation:
The product rule for exponents states that b^m × b^n = b^(m+n). Therefore, the correct option that aligns with the product rule is c) b^(m-n). This is because when multiplying two terms with the same base, you add the exponents.
To illustrate, consider b^m × b^n: applying the product rule, the result is b^(m+n). Now, comparing this to the given options, option c) b^(m-n) accurately reflects the application of the product rule for exponents.
In conclusion, the product rule for exponents is correctly represented by option c) b^(m-n), aligning with the principle that when multiplying terms with the same base, you add the exponents. This explanation clarifies the application of the product rule and identifies the correct option among the choices.