Hello,

We're doing a bit of an introduction to complex numbers and their polar form in my math unit. I have a question that according to the unit notes, I have incorrect, but I would think that I am actually, correct. Could someone clarify the correct answer here?

$\displaystyle (2e^{i\frac{\Pi}{5}}})^{25}$

$\displaystyle =(2)^{25}(e^{i\frac{\Pi}{5})^{25}$

$\displaystyle =2^{25}e^{5i\Pi}$

Now, according to the unit notes, the answer I SHOULD have gotten is

$\displaystyle 2^{25}e^{i\Pi}$

Can somebody explain which answer is correct?