document.write( "Question 434542: Express the following in simplest form: \"root%283%2C3x%5E2y%5E2%29%2Froot%283%2C48x%5E6y%29\"
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Algebra.Com's Answer #301028 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"root%283%2C3x%5E2y%5E2%29%2Froot%283%2C48x%5E6y%29\"\r\n" );
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document.write( "Write as a single cube root:\r\n" );
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document.write( "\"root%283%2C%283x%5E2y%5E2%29%2F%2848x%5E6y%29%29\"\r\n" );
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document.write( "Divide top and bottom by 3, which gives 16 on the bottom\r\n" );
document.write( "Subtract the exponents of x, getting x4 on the bottom.\r\n" );
document.write( "Subtract the exponents of y, getting y on the top:\r\n" );
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document.write( "\"root%283%2Cy%2F%2816x%5E4%29%29\"\r\n" );
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document.write( "rewrite the 16 as 24\r\n" );
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document.write( "\"root%283%2Cy%2F%282%5E4x%5E4%29%29\"\r\n" );
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document.write( "The idea is to get the denominator so that all the exponents will\r\n" );
document.write( "be divisible by 3, the index of the root\r\n" );
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document.write( "To make 2 have an exponent divisible by 3, we need to multiply it\r\n" );
document.write( "by 22 so it will have an exponent of 6\r\n" );
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document.write( "To make x have an exponent divisible by 3, we need to multiply it\r\n" );
document.write( "by x2 so it will have an exponent of 6.\r\n" );
document.write( "So we multiply under the radical by \"red%28%282x%5E2%29%2F%282x%5E2%29%29\"\r\n" );
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document.write( "or\r\n" );
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document.write( "\"root%283%2C%282%5E2x%5E2y%29%2F%282%5E6x%5E6%29%29\"\r\n" );
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document.write( "Separate into the quotient of two cube roots again:\r\n" );
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document.write( "\"root%283%2C2%5E2x%5E2y%29%2Froot%283%2C2%5E6x%5E6%29%29\"\r\n" );
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document.write( "Get rid of the cube root on the bottom by dividing\r\n" );
document.write( "each exponent by the index 3 of the root:\r\n" );
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document.write( "\"root%283%2C2%5E2x%5E2y%29%2F%282%5E2x%5E2%29\"\r\n" );
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document.write( "Changing 22's to 4's\r\n" );
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document.write( "\"root%283%2C4x%5E2y%29%2F%284x%5E2%29\"\r\n" );
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document.write( "Edwin
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