The value of `(i+sqrt3)^(100)+(i-sqrt3)^(100)+2^(100)` is

The value of (i+sqrt(3))^(100)+(i-sqrt(3))^(100)+2^(100) is

Write the comple number in a + ib form unsing cube roots of unity: (a) (-(1)/(2) + sqrt(3)/(2)i)^(1000) (b)If z =(sqrt(3) + i)^(17)/((1-i)^(50)) (c) (i + sqrt(3))^(100) + (i+ sqrt(3))^(100) + 2^(100)

(2/(i+sqrt(3)))^(100)+(2/(i-sqrt(3)))^(100)=

Find the value of (1 + i sqrt3) ^(3)

Find the value of ((1+sqrt-3)/2)^100+((1-sqrt-3)/2)^100

What is the value of ((i+sqrt3)/(-i+sqrt3))^(200)+((i-sqrt3)/(i+sqrt3))^(200)+1 ?

What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

Prove that ((i+sqrt3)/2)^100+((i-sqrt3)/2)^100 +1=0.