document.write( "Question 1112786: Hi,
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\n" ); document.write( "\n" ); document.write( "10. Explain in words how to determine whether :
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\n" ); document.write( " nth root of a^n = a
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\n" ); document.write( " nth root of a^n = /a/
\n" ); document.write( " Simplify the following expression by first rewriting to remove the negative exponent, then writing in radical form, then evaluating, and final simplifying. Refer to Section 8.2 in the text.
\n" ); document.write( " (-27)/64)^(-2/3)
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Algebra.Com's Answer #727808 by ikleyn(52781)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "What is \"sqrt%28x%29\", it is heavily depends on context.\r\n" );
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document.write( "The reason is that \"sqrt%28x%29\", taken as is, is not a single function or a single value.\r\n" );
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document.write( "\"sqrt%284%29\" has, strongly speaking, two values, 2 and -2.\r\n" );
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document.write( "\"sqrt%28x%29\" as a function,  has, strongly speaking, two branches,  | \"sqrt%28x%29%29\" |  and  -| \"sqrt%28x%29\" |.  \r\n" );
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document.write( "In other words, there are TWO different functions practically under the same name.\r\n" );
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document.write( "So, without the context,  \"sqrt%28x%29\"  is not a single value or a function. \r\n" );
document.write( "In opposite, it is THE SET of two values or two functions.\r\n" );
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document.write( "Only if and when the context is EXPLICITLY (or IMPLICITLY) DEFINED, it becomes one function or one single value.\r\n" );
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document.write( "Professional mathematicians \"feel\" the context practically with no error, but for the school people (students or/and teachers) \r\n" );
document.write( "it is often difficult to feel the context.\r\n" );
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document.write( "Therefore in school Math nobody and never explains it, because this understanding gains only with experience.\r\n" );
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