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 \n" );
document.write( "
Algebra.Com's Answer #390331 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! (5-5 square root of 3i) to the 4th power \n" ); document.write( "--------- \n" ); document.write( " \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) \n" ); document.write( " \n" ); document.write( " |