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(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "To help you, I prepared this table:\r
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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" );
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\n" ); document.write( "\n" ); document.write( "Having this table (as a gift from me), can you complete the assignment on your own ?\r
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\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
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