Results 1 to 4 of 4

Math Help - Simplify and write the complex numbers in the form a + bi, where a and b are real

  1. #1
    Junior Member
    Joined
    Jul 2010
    Posts
    55

    Simplify and write the complex numbers in the form a + bi, where a and b are real

    3i^11+6i^3+8/i^20+i^−1

    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Sep 2012
    From
    Washington DC USA
    Posts
    525
    Thanks
    146

    Re: Simplify and write the complex numbers in the form a + bi, where a and b are real

    Can you simplify the 4 expressions below? If so, then do them. Then plug them into your problem.
    If not, then which of them confuse you?
    i^{11} = ?   \ \ i^{3}= ?  \ \ \frac{1}{i^{20}} = ?  \ \ i^{-1} = ?
    Last edited by johnsomeone; September 25th 2012 at 01:25 PM.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Jul 2010
    Posts
    55

    Re: Simplify and write the complex numbers in the form a + bi, where a and b are real

    If i knew that i would already finished that. I only know basic complex numbers. i have no idea how to solve them when its i^x
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,798
    Thanks
    1691
    Awards
    1

    Re: Simplify and write the complex numbers in the form a + bi, where a and b are real

    Quote Originally Posted by ilovemymath View Post
    If i knew that i would already finished that. I only know basic complex numbers. i have no idea how to solve them when its i^x
    i^1=i,~i^2=-1,~i^3=-i,~\&~i^4=1

    If n>0~\&~n=4k+j then i^n=i^j. Example i^{87}=i^3=-i.

    If \frac{1}{i^n}=(-i)^n. Eample \frac{1}{i^9}=(-i)^9=-i.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 4
    Last Post: July 27th 2012, 06:40 PM
  2. Replies: 1
    Last Post: September 27th 2010, 03:14 PM
  3. Is it a field? set of real numbers in the form...
    Posted in the Advanced Algebra Forum
    Replies: 13
    Last Post: January 5th 2010, 03:58 AM
  4. Replies: 3
    Last Post: March 1st 2009, 07:11 PM
  5. HELPP Write complex number in polar form.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: December 14th 2008, 12:43 PM

Search Tags


/mathhelpforum @mathhelpforum