document.write( "Question 1138390: Let z = -2 - 2i. Use DeMoivre’s Theorem to find z6. \n" ); document.write( "

Algebra.Com's Answer #756181 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let z = -2 - 2i. Use DeMoivre’s Theorem to find z6.
\n" ); document.write( "---------
\n" ); document.write( "z = -2 - 2i.
\n" ); document.write( "---
\n" ); document.write( "z = sqrt(2^2 + 2^2)cis(225) = 2sqrt(2)cis(225)
\n" ); document.write( "---
\n" ); document.write( "z^6 = 64*8cis(1350)
\n" ); document.write( "z^6 = 512cis(270)
\n" ); document.write( "z^6 = 512(cos(270) + isin(270))
\n" ); document.write( "z^6 = -512i
\n" ); document.write( " \n" ); document.write( "

\n" );