Final answer:
When multiplying exponential terms with coefficients, the coefficients are multiplied while the exponents of the exponential terms are added.
Step-by-step explanation:
When multiplying exponential terms with coefficients, the correct process is to multiply the coefficients and add the exponents of the exponential terms. For example, if we have 3x2 * 4x3, we would multiply the coefficients 3 and 4 to get 12, and then add the exponents 2 and 3 to get 5. Therefore, the result would be expressed as 12x5. This rule is a combination of the basic arithmetic operation of multiplication and the properties of exponents.