Algebra.Com's Answer #847661 by ikleyn(52786)![\"\"](\"/images/stars/stars-13.gif\")  
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document.write( "One ordered pair (a,b) satisfies the two equations ab^4 = 48 and a^2*b^3 = 24/b^5.
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document.write( "What is the value of b in this ordered pair?
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document.write( "Second equation is \r\n" );
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document.write( " a^2*b^3 =  ,\r\n" );
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document.write( "which is equivalent to\r\n" );
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document.write( " a^2*b^8 = 24. (1)\r\n" );
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document.write( "Compare it with the first equation\r\n" );
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document.write( " ab^4 = 48. (2)\r\n" );
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document.write( "Left side of (1) is the square of the left side of (2),\r\n" );
document.write( "but right side of (1) is NOT the square of the right side of (2).\r\n" );
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document.write( "This contradiction shows and proves that the situation, described in the post, \r\n" );
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document.write( "NEVER may happen and, consequently, such ordered pair (a,b) DOES NOT exist.\r\n" );
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document.write( "Solved, with complete explanations.\r
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