document.write( "Question 56164: How do you compute \"i\" to the 34th power? \n" ); document.write( "
Algebra.Com's Answer #38114 by venugopalramana(3286)\"\" \"About 
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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
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\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)
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\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
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