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The value of (1 + i)(1 + i^(2))(1 + i^(3...

The value of (1 + i)(`1 + i^(2)`)`(1 + i^(3)) (1 + i^(4))` is

A

2

B

0

C

1

D

i

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

Simplify ((1 + i)/(1 - i))^(3) - ((1 - i)/( 1+ i))^(3) .

Knowledge Check

  • The value of (1)/(i)+(1)/(i^2)+(1)/(i^3)+"……"+(1)/(i^(102) is equal to

    A
    `-1-i`
    B
    `-1+i`
    C
    `1+i`
    D
    `1-2i`

  • The value of sum_(i=1)^(13) (n^(n) + i^(n-1)) is

    A
    1 + i
    B
    i
    C
    1
    D
    0

  • The value of ((1+sqrt(3)i)/(1 - sqrt(3)i))^(10) is

    A
    `cis (2pi)/(3)`
    B
    `cis(4pi)/(3)`
    C
    `-cis(2pi)/(3)`
    D
    `-cis(4pi)/(3)`

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    The conjugate of (1 + 2i)/(1 - (1 - i)^(2)) is _____

    The value of ((1+sqrt(3)i)/(1- sqrt(3)i))^(10) is

    The modular of ((-1 + i)(1 - i))/(1 + isqrt(3)) is _____

    The value of sum_(k=0)^(n)(i^(k)+i^(k+1)) , where i^(2)= -1 , is equal to

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