Final answer:
To make an expression equivalent to a^(12)a^(3) in the form a^m, you simply add the exponents, so m equals 15, making the expression a^(15).
Step-by-step explanation:
To make an expression equivalent to a^(12)a^(3) in the form a^m, we need to apply the rule for multiplying exponential quantities. When we have the same base, we can add the exponents. Therefore, m would be the sum of 12 and 3, which is 15. Hence, the expression a^(12)a^(3) is equivalent to a^(15).