Express (-1)1/10 in exponential form
(My first time posting - I hope I got the syntax right!)
The Attempt at a Solution
I got the solution, it's ejπ/10, but I'm not sure why. Here's my work:
(-1)1/10 = (cos(π) + jsin(π))1/10 = cos(pi/10) + jsin(pi/10) = ejπ/10,
I'm wondering why, when moving from step 2 to 3 using De Moivre's Theorem, the jsin(pi) term doesn't drop out. The above math checks out if we would refer to pi as the generic angle 'theta', but shouldn't the complex part fall out once we know that theta is just pi?