A study team was discussing how to multiply 6x^10 by 12x^2.
Andrea said, "The answer is 72x^20"
Bernard said, "No, the answer is 18x^20"
Carmen disagreed and said, "No, the answer is 72x^12"
Finally, Diego concluded, "You are all wrong. The answer is 18x^12"
Are any of these students correct? How do you know? Explain.