- #1

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- Homework Statement
- Find the values of ((1-i)/sqrt(2)) ^ (i+1)

- Relevant Equations
- ((1-i)/sqrt(2)) ^ (i+1)

I took the equation and rewrote it as: e

So I worked on it in sections meaning e

For e

And then for log(1-i) I got ln√2 + i(-(π/4)+2kπ).

Do I just bring them together now? Or would I first FOIL the exponent at the very beginning as in this part "(i+1)(log(1-i)-log(√2))"? Any help would be appreciated thank you!

^{(i+1)(log(1-i)-log(√2))}.So I worked on it in sections meaning e

^{(i+1)}and then log(1-i).For e

^{(i+1)}I got e^{i}e^{1}and used Euler's formula for e^{i}to get: e^{1}(cos(1)+isin(1)).And then for log(1-i) I got ln√2 + i(-(π/4)+2kπ).

Do I just bring them together now? Or would I first FOIL the exponent at the very beginning as in this part "(i+1)(log(1-i)-log(√2))"? Any help would be appreciated thank you!