Math 10- Week 4

This week, my ah-ha moment was while I was working on this question:

((64a)^\frac{1}{3})^\frac{1}{2}

At first, I got the answer to the left. I then checked the answer only to realize that it was wrong but I could not figure out why. A few moments later, I realized that 64 was a coefficient and that \frac{1}{6} also had to be distributed to that as well. So then I redid my work and got the right answer (the work on the right).