What is i^i ?

What is i^(100)+i^(1001)+i^(1002)+i^(1003) equal to (where i=sqrt(-1)) ?

What is the I-I-I bond angle in the I_(3)^(-) ion ?

What is the inverse of A=[{:(1+i,1+i),(-1+i,1-i):}] ?

What is the value of 1+i^(2)+i^(4)+i^(6)+...+i^(100) where i=sqrt(-1)

What is the vlaue of 1+i^(2)+i^(4)+i^(60)+....+i^(100), where i=sqrt(-1) ?

If U= {a,e,I,o,u),A={a,e,i} , B = {e,o,u}, C = {a,I,u}, then : (i) What is AuuU ? (iii) What is AcapU ? (iii) What is Auuphi ? (iv) What is Acapphi ?