document.write( "Question 487007: ∛2x× ∛(4x^2 y^2 )×∛(2y^(4 ) )
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Algebra.Com's Answer #332914 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"root%283%2C2x%29%2Aroot%283%2C4x%5E2y%5E2%29%2Aroot%283%2C2y%5E4%29\"\r\n" );
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document.write( "Write all as one cube root:\r\n" );
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document.write( "\"root%283%2C%282x%29%284x%5E2y%5E2%29%282y%5E4%29%29\"\r\n" );
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document.write( "Break everything into prime factors:\r\n" );
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document.write( "\"root%283%2C%282x%29%2A%282%2A2xxyy%29%282yyyy%29%29\"\r\n" );
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document.write( "Remove the parentheses:\r\n" );
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document.write( "\"root%283%2C2x2%2A2xxyy2yyyy%29%29\"\r\n" );
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document.write( "Rearrange, putting like factors together:\r\n" );
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document.write( "\"root%283%2C2%2A2%2A2%2A2xxxyyyyyy%29\"\r\n" );
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document.write( "Since the index of a cube root is 3, group\r\n" );
document.write( "like factors by 3's:\r\n" );
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document.write( "\"root%283%2C%282%2A2%2A2%29%2A2%28xxx%29%28yyy%29%28yyy%29%29\"\r\n" );
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document.write( "Write each group of 3 as a cube:\r\n" );
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document.write( "\"root%283%2C%282%5E3%29%2A2%28x%5E3%29%28y%5E3%29%28y%5E3%29%29\"\r\n" );
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document.write( "Write as a product of cube roots:\r\n" );
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document.write( "To take the cube root of a cube, eliminate the radical and the exponent:\r\n" );
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document.write( "\"2%2A%28root%283%2C2%29%29%2Axyy\"\r\n" );
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document.write( "\"2xy%5E2%2Aroot%283%2C2%29\"\r\n" );
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document.write( "Edwin

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