<PRE><B>Question 217921</B>
i = sqrt (-1) =i
.
i^2 = (-1)
.
i^3 = -i
.
i^4 = +1
.
and  then  they  repeat,,,every  4
.
i^5 = sqrt(-1)
.
etc
.
Since  it the  pattern  does  repeat  for  every  4th  power,,
.
to  find  any  power,,,divide  by  4,,,and  the  REMAINDER is  the  power  of  concern,
.
for  example,,i^5 =(5/4 = 1 R1)= i^1 =i= sqrt(-1)
.
 for  this  problem,,,i^29 = (29/4 =7R1)=i^1 =i =sqrt(-1)
.







.

</PRE>