Lots of questions!
1. Think of 0.1*0.1*0.1*0.1 in fraction form: 1/10*1/10*1/10*1/10 = 1/10,000 = 0.0001. Correct.
2. 1/ (6^2) --> Remember, you can move 6^2 to the numerator if you change the sign of the exponent from positive to negative.
3. Add the exponents together. It is not B.
4. Subtract the exponents to get a number, #; then 10^# will be your answer. Yes, it is B.
6. Subtract the exponents for number 4 just like you did for number 4 and multiply by the new exponent 3. C is correct.
7. You can separately multiply the two terms: All you have to do is multiply the exponents by 6 and that's it keeping the X in the middle.