document.write( "Question 620631: Find the result of the expression using De Moivre's theorem. Write the answer in rectangular form.\r
\n" ); document.write( "\n" ); document.write( "(5-5 square root of 3i) to the 4th power
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Algebra.Com's Answer #390331 by Alan3354(69443)\"\" \"About 
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(5-5 square root of 3i) to the 4th power
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\n" ); document.write( "\"%285+-+5sqrt%283%29i%29%5E4\"
\n" ); document.write( "z = sqrt(5^2 + 75) = 10
\n" ); document.write( "t = atan(-sqrt(3)) = 300 degs (Q4)
\n" ); document.write( "--> 10cis(300)
\n" ); document.write( "^4 = 10000cis(1200)
\n" ); document.write( "= 10000*-0.5 + i*10000*sqrt(3)/2
\n" ); document.write( "= -5000 + i*5000sqrt(3)
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