document.write( "Question 56164: How do you compute \"i\" to the 34th power? \n" ); document.write( "
Algebra.Com's Answer #38114 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! How do you compute \"i\" to the 34th power? \n" ); document.write( "NOTE THE FOLLOWING \n" ); document.write( "I^1=I......................................1 \n" ); document.write( "I^2=-1.........................................2 \n" ); document.write( "I^3 = (I^2)*I=-I..................................3 \n" ); document.write( "I^4=(I^2)*(I^2)=(-1)*(-1)=1............................4 \n" ); document.write( "---------------------------------- \n" ); document.write( "YOU WILL FIND THE ROCESS REPEATS IT SELF NOW \n" ); document.write( "I^5=(I^4)*I=I^1 \n" ); document.write( "I^6=(I^4)(I^2)=I^2 \n" ); document.write( "I^7=(I^4)(I^3)=I^3 \n" ); document.write( "I^8=(I^4)(I^4) \n" ); document.write( "------------------- \n" ); document.write( "SO WE NEED TO NOTE ONLY THE FIRST 4 EQNS. \n" ); document.write( "THEY CAN BE SUMMARISED IN TO ONE RULE... \n" ); document.write( "DIVIDE THE POWER OF I WITH 4.IF THE REMAINDER IS \n" ); document.write( "A)0 THEN ANSWER IS +1 \n" ); document.write( "B)1 THEN ANSWER IS I \n" ); document.write( "C)2 THEN ANSWER IS -1 \n" ); document.write( "D)3 THEN ANSWER IS -I \n" ); document.write( "IN YOUR EXAMPLE POWER OF I IS 34..DIVIDING WITH 4 ..THE REMAINDER IS 2 \n" ); document.write( "HENCE ANSWER IS -1 \n" ); document.write( " |