[" 5."((1+i)/(1-i))^(4)+((1-i)/(1+i))^(4)=," [E "2013]],[" 1) "0," 2) "1]

((1+i)/(1-i))^(4)+((1-i)/(1+i))^(4)=(A)1(B)2(C)3(D)4

(1-1/i)^4+(1+1/i)^4=-8

(v) (1-i) ^ (2) (1 + i) - (3-4i) ^ (2)

The value of (1+i)^(4)(1-i)^(4) is

The value of (1+i)^(4)(1-i)^(4) is

i^4 (1) 0 (2) -1 (3) 1 (4) 2

The value of (1+i) (1-i^(2)) (1+i^(4))(1-i^(5)) is

The value of (1+i) (1-i^(2)) (1+i^(4))(1-i^(5)) is

Prove that: (i) (1-i)^(2)=-2i (ii) (1+i)^(4)xx(1+(1)/(i))^(4)=16 (iii) {i^(19)+((1)/(i))^(25)}^(2)=-4 (iv) i^(4n)+i^(4n+1)+i^(4n+2)+i^(4n+3)=0 (v) 2i^(2)+6i^(3)+3i^(16)-6i^(19)+4i^(25)=1+4i .

Simplify and express each of the following in the form (a + ib) : (i)" "((5)/(-3+2i)+(2)/(1-i))((4-5i)/(3+2i))" "(ii)" "((1)/(1-4i)-(2)/(1+i))((1-i)/(5+3i))