I'm working on a couple of problems here and I wanted to make sure my steps to my answers (in bold) are correct. The numbers in red are exponents.

1. Problem:8 a-3

..................4a2

................=2

..................a5

2. Problem:

(3x-2 y2)2

-12 x3 y-3

(3)2 (x-2)2 (y2)2

-12 x3 y-3

...3x4 y4

-12 x3 y-3

3x7

4y7

Thanks again.