document.write( "Question 1175733: Suppose that N=85^200 + 120^200. Find the remainder when you divide N by 7 \n" ); document.write( "

Algebra.Com's Answer #801416 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "Suppose that N=85^200 + 120^200. Find the remainder when you divide N by 7
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document.write( "Notice that  85 = 12*7 + 1  gives the remainder 1, when divided by 7.\r\n" );
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document.write( "Hence, the number 85 in any integer positive degree gives the remainder 1, when divided by 7.\r\n" );
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document.write( "In particular,  85^200  gives the remainder 1, when divided by 7.\r\n" );
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document.write( "Next, notice that  120 = 17*7 + 1.\r\n" );
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document.write( "The same arguments prove that  120^200  gives the remainder 1, when divided by 7.\r\n" );
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document.write( "So the ANSWER to the problem's question is 1 + 1 = 2.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "How @MathLover1 treats the problem, shows that she NEITHER understands the subject \r
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