document.write( "Question 1030811: What is \"+i%5E13+\" simflied?\r
\n" ); document.write( "\n" ); document.write( "A.) \"+1+\"
\n" ); document.write( "B.) \"+-1+\"
\n" ); document.write( "C.) \"+i+\"
\n" ); document.write( "D.) \"-i+\"\r
\n" ); document.write( "\n" ); document.write( "Thanks \n" ); document.write( "
Algebra.Com's Answer #645586 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "Option C).\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "\"i%5E2\" = -1,\r\n" );
document.write( "\r\n" );
document.write( "\"i%5E3\" = \"i%5E2%2Ai\" = \"%28-1%29%2Ai\" = \"-i\",\r\n" );
document.write( "\r\n" );
document.write( "\"i%5E4\" = \"i%5E2%2Ai%5E2\" = \"%28-1%29%2A%28-1%29\" = 1,\r\n" );
document.write( "\r\n" );
document.write( "\"i%5E5\" = \"i%5E4%5Ei\" = \"i\",  \r\n" );
document.write( "\r\n" );
document.write( "and so on, with the cyclic period of 4.\r\n" );
document.write( "\r\n" );
document.write( "Therefore, \"i%5E13\" = \"i%5E12%2Ai\" = \"i\".\r\n" );
document.write( "

\n" ); document.write( " \n" ); document.write( "
\n" );