document.write( "Question 1208445: Write the given expression as a single quotient in which only positive exponents and/or radicals appear.\r
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\n" ); document.write( "\n" ); document.write( "[(8x + 1)^(1/3)]/[3(x - 2)^(1/2)]^(1/3) + [(x - 2)^(1/3)]/[24(8x + 1)^(1/2)]^(1/3)\r
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\n" ); document.write( "\n" ); document.write( "Note: x does not equal 2; x does not equal -1/8 \n" ); document.write( "
Algebra.Com's Answer #847380 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
If \"x%3C%3E2\" and \"X%3C%3E-1%2F8\" then \"x-2%3C%3E0\" and \"8x%2B1%3C%3E0\" .
\n" ); document.write( "In that case, multiplying numerator and denominator of a fraction times those expressions results in a fraction that is equivalent for all considered values of \"x\" .
\n" ); document.write( "\"%288x+%2B+1%29%5E%221%2F3%22%2F%28%283%28x+-+2%29%29%5E%221%2F2%22%29%5E%221%2F3%22%29\" \"%22%2B%22\" \"%28%28x+-+2%29%5E%221%2F3%22%29%2F%28%2824%288x+%2B+1%29%29%5E%221%2F2%22%29%5E%221%2F3%22\"\"%22=%22\" \"%288x+%2B+1%29%5E%221%2F3%22%2F%28%283%5E%221%2F3%22%29%28x+-+2%29%5E%221%2F6%22%29%29\" \"%22%2B%22\" \"%22=%22\" \"%288x+%2B+1%29%5E%221%2F3%22%2F%28%283%5E%221%2F3%22%29%28x+-+2%29%5E%221%2F6%22%29%29\" \"%22%2B%22\"
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\n" ); document.write( "\"%22=%22\" \"%22%2B%22\"
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\n" ); document.write( "\"%22=%22\" \"%282%288x+%2B+1%29%5E%221%2F3%2B1%2F6%22%29%2F%0D%0A%282%288x%5E2-15x-2%29%5E%221%2F6%22%29\" \"%22%2B%22\" \"%28%28x+-+2%29%5E%221%2F3%2B1%2F6%22%29%2F%282%288x%5E2-15x-2%29%5E%221%2F6%22%29\"\"%22=%22\" \"%282%288x+%2B+1%29%5E%221%2F2%22%29%2F%0D%0A%282%288x%5E2-15x-2%29%5E%221%2F6%22%29\" \"%22%2B%22\" \"%28%28x+-+2%29%5E%221%2F2%22%29%2F%282%288x%5E2-15x-2%29%5E%221%2F6%22%29\"\"%22=%22\"
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\n" ); document.write( "\"%22=%22\" \"%282sqrt%288x+%2B+1%29%2Bsqrt%28x+-+2%29%29%2F%0D%0A%282root%286%2C%288x%5E2-15x-2%29%29%29\" \n" ); document.write( "
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