document.write( "Question 1086719: If x^4+y^4=2 and x^8+y^8=3, what is the value of x^(16)+y^(16) \n" ); document.write( "

Algebra.Com's Answer #700951 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "1.  If  = 2 then (squaring both sides)\r\n" );
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document.write( "        +  +  = 4.    (1)\r\n" );
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document.write( "    Using  = 3 (which is given) from (1) you get  = 1.    (2)\r\n" );
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document.write( "    Hence,   = .\r\n" );
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document.write( "2.  Now,  =  =  =  = .\r\n" );
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\n" ); document.write( "\n" ); document.write( "Answer. $\"x%5E16+%2B+y%5E16\"$ = $\"8\"$ $\"1%2F2\"$ .\r
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