document.write( "Question 707147: \"+matrix%282%2C1%2C%22%22%2C%0D%0A%0D%0A%0D%0A2%28x-1%29%5E%283%2F4%29%2B4=36%29+\" \r
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Algebra.Com's Answer #435552 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "The other tutor went into a lot of detail after she\r\n" );
document.write( "got here.  \r\n" );
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document.write( "\"+x+=+1%2Broot%283%2C16%5E4%29+\"\r\n" );
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document.write( "Maybe you'd like this better:\r\n" );
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document.write( "Write the 16 as \"2%5E4\"\r\n" );
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document.write( "\"+x+=+1%2Broot%283%2C%282%5E4%29%5E4%29+\"\r\n" );
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document.write( "Then multiply the two exponents 4·4 = 16\r\n" );
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document.write( "\"+x+=+1%2Broot%283%2C2%5E16%29+\"\r\n" );
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document.write( "The index of the root is 3,\r\n" );
document.write( "the exponent of 2 is 16\r\n" );
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document.write( "So write the exponent in terms of its nearest multiple\r\n" );
document.write( "of the index 3 which does not exceed 16.  So write the 16 \r\n" );
document.write( "exponent as 15+1\r\n" );
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document.write( "\"+x+=+1%2Broot%283%2C2%5E%2815%2B1%29%29+\"\r\n" );
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document.write( "Then write \"2%5E%2815%2B1%29\" as \"2%5E15%2A2%5E1\" or just \"2%5E15%2A2\"\r\n" );
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document.write( "\"+x+=+1%2Broot%283%2C2%5E15%2A2%29%29+\"\r\n" );
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document.write( "Then divide the exponent 15 by the index of the radical 3 and get 5\r\n" );
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document.write( "Then take the \"2%5E15\" out of the cube root as a \"2%5E5\" in front\r\n" );
document.write( "of the radical:\r\n" );
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document.write( "\"+x+=+1%2B2%5E5%2Aroot%283%2C2%29+\"\r\n" );
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document.write( "Then write the \"2%5E5\" as \"32\"\r\n" );
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document.write( "\"x=1%2B32%2Aroot%283%2C2%29\"\r\n" );
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document.write( "Edwin
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