Results 1 to 5 of 5

Math Help - can anyone help me complex number question?

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    8

    can anyone help me complex number question?

    Let x = 2e-(p/4)i, y = 3e(p/6)i. Let a + bi = x2 / y3. Find a and b.
    I do not have any idea for this question.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    May 2009
    Posts
    527
    Quote Originally Posted by eunse16 View Post
    Let x = 2e-(p/4)i, y = 3e(p/6)i. Let a + bi = x2 / y3. Find a and b.
    I do not have any idea for this question.
    I have no idea what the given numbers are. Are they
    x = 2e^{-\frac{p}{4}i}
    y = 3e^{\frac{p}{6}i}?
    And is p pi?


    01
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    May 2009
    Posts
    8

    Yes

    Sorry.
    you are right. I made a mistake.
    P is pi.
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,605
    Thanks
    1574
    Awards
    1
    If the numbers are indeed x=2e^{-\frac{\pi i}{4}}~\&~x=2e^{\frac{\pi i}{6}} then
    x^2=4e^{-\frac{\pi i}{2}}=-4i
    y^3=27e^{\frac{\pi i}{2}}=27i
    \frac{x^2}{y^3}=\frac{-4}{27}
    Follow Math Help Forum on Facebook and Google+

  5. #5
    MHF Contributor

    Joined
    Apr 2005
    Posts
    15,361
    Thanks
    1311
    Using, of course, the laws of exponents: \left(e^{ax}\right)^n= e^{nax} and \frac{e^{ax}}{e^{bx}}= e^{(a-b)x}.
    Last edited by Isomorphism; May 20th 2009 at 11:08 AM. Reason: Fixed the Latex
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Complex number question
    Posted in the Algebra Forum
    Replies: 9
    Last Post: March 12th 2011, 01:20 AM
  2. Another Complex Number Question
    Posted in the Algebra Forum
    Replies: 4
    Last Post: July 30th 2009, 03:46 AM
  3. complex number question
    Posted in the Algebra Forum
    Replies: 3
    Last Post: May 22nd 2009, 01:40 AM
  4. Complex number question-
    Posted in the Calculus Forum
    Replies: 5
    Last Post: May 9th 2009, 05:05 AM

Search Tags


/mathhelpforum @mathhelpforum