Example 5.7. Find the principal value of  (a)   [Graphics:Images/ComplexFunComplexPowerMod_gr_47.gif].  

Explore Solution 5.7 (a).

(a) Enter  [Graphics:../Images/ComplexFunComplexPowerMod_gr_54.gif]  and find the principal value of  [Graphics:../Images/ComplexFunComplexPowerMod_gr_55.gif].  

[Graphics:../Images/ComplexFunComplexPowerMod_gr_56.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_57.gif]

 

 

We are done.

Aside.  We can try another value, this is just for fun!

[Graphics:../Images/ComplexFunComplexPowerMod_gr_58.gif]

[Graphics:../Images/ComplexFunComplexPowerMod_gr_59.gif]

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2006 John H. Mathews, Russell W. Howell