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)\"\" \"About 
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( "
\n" );