document.write( "Question 1007228: Use de Moivre's Theorem to find the following. Write your answer in standard form.
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Algebra.Com's Answer #623199 by ikleyn(52799) $\"\"$ $\"About$

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\n" ); document.write( "Use de Moivre's Theorem to find the following. Write your answer in standard form.
\n" ); document.write( "(1 + i)^8
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\n" ); document.write( "\n" ); document.write( "1 + i = $\"sqrt%282%29\"$ .(cos(45°) + i*sin(45°)).\r
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\n" ); document.write( "\n" ); document.write( "According to de Moivre's Theorem, \r
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\n" ); document.write( "\n" ); document.write( " $\"%281+%2B+i%29%5E8\"$ = $\"%28sqrt%282%29%29%5E8\"$ .(cos(8*45°) + i*sin(8*45°)) = $\"2%5E4\"$ .(cos(360°) + i*sin(360°)) = 16.\r
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