Express [(z/w*)^6]-[(z*/w)^6] in a+bi ?

Express [(z/w*)^6]-[(z*/w)^6] in a+bi , where a, b are real numbers and

z= -1+ i,

w= -√3 + i

3 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    Write z and w* in polar form:

    z=sqrt(2)exp(i*3pi/4)

    w*=2exp(i*7pi/6).

    Then z/w* is easily obtained in polar form. Raise it to the 6th power

    to find

    (z/w*)^6=-(1/8)i.

    But (z*/w) is the complex conjugate of z/w*, so the final answer will be twice the imaginary part of this result: -(1/4)i.

  • Anonymous
    1 decade ago

    I wish! I failed math twice in high school. All the best with your puzzle.

  • Anonymous
    1 decade ago

    Can we have pancakes now...

Still have questions? Get your answers by asking now.