document.write( "Question 26058: ok, i just DONT understand imaginary numbers in problems! i really need help! heres a problem: 7i^3 + 8i^12 +9i^17 -5i^16 = ?\r
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document.write( "PLEASE HELP! i dont know what to do with the numbers in front...!!! \n" );
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Algebra.Com's Answer #14033 by venugopalramana(3286)![]() ![]() You can put this solution on YOUR website! 7i^3 + 8i^12 +9i^17 -5i^16 = \n" ); document.write( "PLEASE NOTE THE FOLLOWING \n" ); document.write( "I=I \n" ); document.write( "I^2=-1 \n" ); document.write( "I^3=I^2*I=-I \n" ); document.write( "I^4=(I^2)^2=(-1)(-1)=1 \n" ); document.write( "HENCE IN GENERAL \n" ); document.write( "(I)^EVEN POWER = -1 OR +1..IT IS +1 IF THE POWER IS DIVISIBLE BY 4 OTHER WISE -1\r \n" ); document.write( "\n" ); document.write( "(I)^ODD POWER = I OR -I ....IT IS +I IF THE POWER LESS ONE IS DIVISIBLE BY 4 OTHER WISE -I... \n" ); document.write( "SO NOW YOU CAN DO THE PROBLEM I THINK ..LET US SEE\r \n" ); document.write( "\n" ); document.write( "7i^3 + 8i^12 +9i^17 -5i^16 = -7I+8+9I-5=3-2I...OK...CLEAR?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |