document.write( "Question 45942: find the power of i
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document.write( "i18
Algebra.Com's Answer #30516 by AnlytcPhil(1806)![]() ![]() You can put this solution on YOUR website! find the power of i \r\n" ); document.write( "i18\r\n" ); document.write( "\r\n" ); document.write( "All you have to know for problems like this is that\r\n" ); document.write( "\r\n" ); document.write( "i2 = -1\r\n" ); document.write( "\r\n" ); document.write( "And that\r\n" ); document.write( "\r\n" ); document.write( "(-1)even power = 1 \r\n" ); document.write( "\r\n" ); document.write( "and \r\n" ); document.write( "\r\n" ); document.write( "(-1)odd power = -1\r\n" ); document.write( "\r\n" ); document.write( "i18 = i2·9 = (i2)9 = (-1)9 = -1 since 9 is an odd power\r\n" ); document.write( "\r\n" ); document.write( "That's the answer.\r\n" ); document.write( "\r\n" ); document.write( "=======================================================\r\n" ); document.write( "\r\n" ); document.write( "Suppose you had the problem i73, then\r\n" ); document.write( "\r\n" ); document.write( "i73 = i72+1 = i72i1 = (i2)36i1 = (-1)36i1 = \r\n" ); document.write( "\r\n" ); document.write( "(1)i1 <-----(because 36 is an even power)\r\n" ); document.write( "\r\n" ); document.write( "Erase the 1's\r\n" ); document.write( "\r\n" ); document.write( "Answer: i\r\n" ); document.write( "\r\n" ); document.write( "Edwin\r \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |