Simplify the expression (3a4)(−6a3) . Show your work and justify each step.

I'm going to assume the 4 and 3 are exponents and the expression is .

The first step is to separate the coefficients of 3 and -6 from the variables and to multiply those as normal:

As for the variables, you want to recognize that means and means , so

In total, there are 7 a's being multiplied, so

Putting this all together, we have:

7. d. 64

8. i. 32

9. c. 125

10. j. none of the above

11. d. 81

12. i. 216

13. e. none of the above

14. g. 240

15. e. none of the above

16. g. 32

17.   e. none of the above