Find all the complex solutions of the equation:
$$\frac{z^3}{i} = 1$$
I mean is this the same thing as $$z^3 = i$$?
Because I don't understand why my teacher would put it like that on a test. At this level of mathematics we should obviously know how to re-arrange variables in such a simple equation..
Note that $\frac{1}{i} = -i$. So $\frac{z^3}{i} = -iz^3$. From here, you can just multiply both sides by $i$. In short, you are correct, and it is indeed strange that it was written like that on your exam.