Answer:
The solution is .
Step-by-step explanation:
Complex power is determined by means of the De Moivre's Theorem, whose expression is:
Where is the norm of the complex number. In this case, expression can be written as:
The real component must be equal to zero and complex component must be equal to -1. That is to say:
Possible solutions for each component are, respectively:
Real component
,
,
Possible solutions: ,
,
Complex component
,
,
Possible solutions: ,
There is one solution whose argument is strictly between 180 degrees () and 270 degrees (
).