When comparing and contrasting, it's always good to think about what your doing it with.
I'm not going to give to a full paragraph, but I'd love to help get one started for you!
First, let's look at the definition of both terms:
-Design: "<span>purpose, planning, or intention that exists or is thought to exist behind an action, fact, or material object" ~ Google
-Problem Solving: "Taking different approaches to finding a solution to the problem, or task at hand."
Now, let's compare. When designing things, you in a way, are problem solving to figure out how to create or build a solution to a problem. This can be through trial and error, or complex thinking.
I hope this helps, and good luck! :)</span>
Answer: D. 7^11
Reason:
The rule we use is 
When multiplying exponentials of the same base, we add the exponents.
The exponents 5 and 6 add to 5+6 = 11
So,

The base stays the same the entire time.
Yes, you are correct.
Hope my answer helped u :)
The range is the interval of y values.
Smallest y values is -9 and the highest y values is 9.
So the range is