- #1

KAISER91

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**Complex Number Question - Euler's Formula?**

## Homework Statement

Express (-2 + 2i)^10 in the form re^(iθ)

## Homework Equations

Euler's Formula, I think?

The Answer given is: (2√2)^10 e^[i(15pi/2)]

## The Attempt at a Solution

I don't know what I'm doing wrong here;r = √[(-2)^2 + 2^2] = √8 = 2√2theta = pi - arctan (y/x)

= pi - arctan (2/-2)

= pi - 45

= pi - (pi/4)

= 3pi / 4Help will be appreciated. Thanks