- #1

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## Homework Statement

Evaluate the following in x+iy form.

i

^{3+i}

## Homework Equations

i=re

^{i[itex]\Theta[/itex]}

## The Attempt at a Solution

i=re

^{i[itex]\frac{pi}{2}[/itex]}

i

^{3+i}= i

^{3}*i

^{i}

(-i)(e

^{i2[itex]\frac{pi}{2}[/itex]})

=-ie

^{-[itex]\frac{pi}{2}[/itex]}

=-.2079i

I understand how it all works out except [itex]\frac{pi}{2}[/itex]. I can't figure out how they got [itex]\frac{pi}{2}[/itex] in the first place. Any ideas? Thanks in advance.