Evaluate.
(i) `i^(1998)`
(ii)` i^(-9999)`
(iii) `(-sqrt-1)^(4n+3)`,n `ne` N

The value of the sume sum_(n=1)^(13) ( i^(n) + i^(n+1)) , where i = sqrt( -1) , equals :

Find the value of 1+i^(2)+i^(4)+i^(6)+...+i^(2n), where i=sqrt(-1) and n in N .

(1+i)^(2 n)+(1-i)^(2 n), n in z is

If A^(n) = 0 , then evaluate (i) I+A+A^(2)+A^(3)+…+A^(n-1) (ii) I-A + A^(2) - A^(3) +... + (-1) ^(n-1) for odd 'n' where I is the identity matrix having the same order of A.

The value of the sum sum_(n=1) ^(13) (i^(n)+i^(n+1)) , where i = sqrt( - 1) ,equals :

The value of ((1+i)/(1-i))^(4 n)=

The value of sum_(n=0)^(100)i^(n!) equals (where i=sqrt(-1))

The value of (a+i b)^(m / n)+(a-i b)^(m / n) is equal to

The value of sum_(k=1)^(13)(i^(n)+i^(n+1)) , where i=sqrt(-1) equals :