1. The problem statement, all variables and given/known data I am in dif eq, but just need to know how to separate a power. separate e^(xi) into the form a-bi, where x is a constant (in my homework, x is 4pi/3, but that's not too relevant) i is the imaginary number sqrt(-1) 2. Relevant equations I don't know if there is some simple rule, or if I actually need to use calculus and integrals. The only thing I know is that e^(x+y) = e^(x)e^(y). However, I can't use that here, because the power is the multiple. 3. The attempt at a solution I tried setting it equal to y = e^(xi) and taking the natural log of both sides, but it just got really messy and I ended up with a square root of i, which is not good.