document.write( "Question 1076523: Give the equivalence classes of the relation aRb if and only if a^4≡b^4(mod30) on the set {1,2,3,…,15}? \n" ); document.write( "
Algebra.Com's Answer #691161 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "To help you, I prepared this table:\r \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "\r\n" ); document.write( "n n^4 Mod(n^4,30)\r\n" ); document.write( "----------------------------\r\n" ); document.write( "1 1 1\r\n" ); document.write( "2 16 16\r\n" ); document.write( "3 81 21\r\n" ); document.write( "4 256 16\r\n" ); document.write( "5 625 25\r\n" ); document.write( "6 1296 6\r\n" ); document.write( "7 2401 1\r\n" ); document.write( "8 4096 16\r\n" ); document.write( "9 6561 21\r\n" ); document.write( "10 10000 10\r\n" ); document.write( "11 14641 1\r\n" ); document.write( "12 20736 6\r\n" ); document.write( "13 28561 1\r\n" ); document.write( "14 38416 16\r\n" ); document.write( "15 50625 15\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Having this table (as a gift from me), can you complete the assignment on your own ?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To make the table, I used MS Excel in my Windows computer. \n" ); document.write( "It has this function Mod(a,n) to calculate \"a (mod n)\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |