- #1

alexcc17

- 48

- 0

## Homework Statement

i

^{.5 - i}

## Homework Equations

z

^{c}=e

^{c log(z)}

z

^{1/n}=exp[(1/n) log(z)], n is in integer

## The Attempt at a Solution

letting c=.5-i and z=i so

z

^{c}=e

^{(.5-i) log(i)}= e

^{.5 log(i)}*e

^{-i log(i)}

from the second equation I reduced it to:

i

^{.5}*e

^{-i log(i)}but I'm not sure where to go from there since the second known equation doesn't apply to the e^(-i log(i)) part