first of all, you need to understand that _/x = x^(1/2
3_/6^(6 should be written as 6^(6/3 in the next step, in the first step the square root should be gone already,thus she had made a mistake in step A.
here's a formula to help you understand
[tex] \sqrt{2} = {2}^{ \frac{1}{2} } \\ \\ \sqrt[3]{ {6}^{6} } \\ = {6}^{ \frac{6}{3} } \\ = {6}^{ \frac{1}{2} } \\ = \sqrt{6} [/tex]
hope it helps!