document.write( "Question 982741: Please help me solve this problem using De Moivre's Theorem to get the exact answer:\r
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document.write( "(3+4i)^6 \n" );
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Algebra.Com's Answer #603549 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! using De Moivre's Theorem to get the exact answer:\r \n" ); document.write( "\n" ); document.write( "(3+4i)^6 \n" ); document.write( "----- \n" ); document.write( "r = sqrt(3^2+4^2) = 5 \n" ); document.write( "theta = arctan(4/3) = 53.13 \n" ); document.write( "----- \n" ); document.write( "(3+4i)^6 = 5*6(cos(6*53.13) + isin(6*53.13)) \n" ); document.write( "---- \n" ); document.write( "= 15625(0.7522 - 0.6590i) \n" ); document.write( "----- \n" ); document.write( "= 11753.13 - 10296.88i \n" ); document.write( "------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |