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Math Help - DeMoivre's Theorem

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    DeMoivre's Theorem

    Use the DeMoivre's Theorem to find the indicated power of this complex number (-6 + 6i ) ^4

    Can someone please show the work for this problem. Thanks in advance
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    Quote Originally Posted by Nessa214 View Post
    Use the DeMoivre's Theorem to find the indicated power of this complex number (-6 + 6i ) ^4

    Can someone please show the work for this problem. Thanks in advance
    (-6 + 6i ) ^4 = 6^4(-1 + i)^4 = 2^2*6^4(cos3π/4 + sin3π/4)^4 = 4* 6^4(cos3π + sin3) = -4*6^4
    Last edited by sa-ri-ga-ma; May 5th 2010 at 04:57 PM.
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  3. #3
    MHF Contributor ebaines's Avatar
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    (-6 + 6i)^4 = 6^4(-1+i)^4 = 6^4(cos 3\pi/4 + i sin 3 \pi/4)^4 = <br />
    <br />
6^4(cos 3\pi + i sin 3\pi) = 6^4 (-1) = -(6^4).
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