document.write( "Question 233025: What is the solution to i^16+i^20+i^22? and how do you do it? Thank You \n" ); document.write( "
Algebra.Com's Answer #172073 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! What is the solution to i^16+i^20+i^22? and how do you do it? Thank You \n" ); document.write( "---------------- \n" ); document.write( "i^1 = i \n" ); document.write( "i^2 = -1 \n" ); document.write( "i^3 = -i \n" ); document.write( "i^4 = 1 \n" ); document.write( "------------------ \n" ); document.write( "Note: Every 4th power of i is 1. \n" ); document.write( "-------------------------------- \n" ); document.write( "Your problem: \n" ); document.write( "i^16 = 1 \n" ); document.write( "i^20 = 1 \n" ); document.write( "i^22 = i^20*i^2 = 1*-1 = -1 \n" ); document.write( "------------------------------- \n" ); document.write( "Adding you get 1+1-1 = 1 \n" ); document.write( "==================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |