Complex Number

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  1. raees's Avatar
    1 03-05-2012  22:44
    • Full Member
    • Location: London & York
    Complex Number
    Can someone please help me understand this step:

    I have this:

    Click image for larger version.  Name: Capture.JPG  Views: 18  Size: 1.4 KB  ID: 145665

    And next step is this:

    Click image for larger version.  Name: Capture.JPG  Views: 14  Size: 1.0 KB  ID: 145666

    How does one get from the first equation to the next?
  2. Intriguing Alias's Avatar
    2 03-05-2012  22:55
    • TSR Idol
    • Location: Yorkshire
    Re: Complex Number
    (Original post by raees)
    Can someone please help me understand this step:

    I have this:

    Click image for larger version.  Name: Capture.JPG  Views: 18  Size: 1.4 KB  ID: 145665

    And next step is this:

    Click image for larger version.  Name: Capture.JPG  Views: 14  Size: 1.0 KB  ID: 145666

    How does one get from the first equation to the next?
    Just by cube rooting.

    Can you see that (2\sqrt{2}e^{i\frac{3\pi}{4}})^{ 1/3} = (2\sqrt{2})^{1/3}(e^{i\frac{3\pi}{4}})^{1/3} and then how this leads to the second equation?

    Index laws: (a^x)^{1/y} = a^{x/y}
  3. raees's Avatar
    3 03-05-2012  22:58
    • Full Member
    • Location: London & York
    Re: Complex Number
    (Original post by hassi94)
    Just by cube rooting.

    Can you see that (2\sqrt{2}e^{i\frac{3\pi}{4}})^{ 1/3} = (2\sqrt{2})^{1/3}(e^{i\frac{3\pi}{4}})^{1/3} and then how this leads to the second equation?

    Index laws: (a^x)^{1/y} = a^{x/y}
    OH! thank you
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