Part A
Her steps were

Kelsey made a mistake on line 3. Note how the 17/6 flips to 6/17. This is not correct. You keep the first fraction the same, but you do flip the second fraction. This only applies when you divide two fractions.
The third step should look like 
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Part B
Here's what she should have written

If you want to convert that improper fraction to a mixed number, then you could do something like this

Or you could divide 17 over 8 using long division to get 2 remainder 1. The 2 is the quotient that goes to the left of the 1/8. The remainder of 1 is the numerator of 1/8.
You should ask your parent/guardian
or teacher if needed! Merry Christmas!
The answers are as follows.
a. 9x
In order to get this, you need to reevaluate 64 as a base of 4. Since 64 is equal to 4^3, we can rewrite the right side as
64^3x = (4^3)^3x = 4^9x
Which gives you the first answer.
b. 10
Similar to the first problem, we need to express 16 as a base of 2. 2^4 is equal to 16, so we use that in it's place and simplify.
16^5/2 = (2^4)^5/2 = 2^20/2 = 2^10
c. Sqrt(7.31)
This one is more simple. Raising something to a 1/2 power (.5) is the same as taking the square root.
Answer:

Step-by-step explanation:
Whe have the function 
To solve this equation we must factor.
To factor, we need to find the points where the function is equal to zero. So we use the quadratic formula

Where:
a = 3
b = -6
c = 2
Then

finally the correct answer is 