The LOML and I have been working on a math problem in my oldest son's math book. I come up with one answer and the answer key provides a different answer. What do you come up with?

(3 * 10^12)(15 * 10^-2)

In otherwords:

(3 times 10 to the 12th) times (15 times 10 to the negative 2)

Please show me your work so I can see if I did this correctly. It's only been 34 years since I've done anything like this.