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[i^(17)-((1)/(i))^(34)]^(2)=2i....

`[i^(17)-((1)/(i))^(34)]^(2)=2i`.

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Evaluate [ i^(14) - (1/i)^(34)]^2

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Knowledge Check

  • [i^(17)+1/(i^(315))]^(9) is equal to

    A
    32i
    B
    `-512`
    C
    512
    D
    512i

  • (( 2 i)/( 1 + i))^(2) =

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

    • Similar Questions

    Explore conceptually related problems

    ((1-i)/(1+i))^2=

    If ((1+i)/(1-i))^(2) - ((1-i)/(1+i))^(2) = x + iy then find (x,y).

    (1+2i)/(1-(1-i)^2)

    Find the values of the following : (i) i^(7)+i^(17)+i^(12) (ii) i^(11)+i^(-11) (iii) i^(3)+(1)/(i^(3)) (iv) 1+i^(2)+i^(6)+i^(8)

    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 .

    Perform the indicated operations and write the result in the form x+iy: (i) (-3+2i)+(-6+3i) (ii) ((1)/(2)+(7)/(2)i)-(4+(5)/(2)i) (iii) (1-2i)-i+(4-7i)-2i+(5i+3) .

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