document.write( "Question 472770: Rewrite using positive exponent\r
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Algebra.Com's Answer #324121 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
\"1%2Fx%5E%28-5%29\" equals \"x%5E5\".
\n" ); document.write( "here's how it works.
\n" ); document.write( "\"x%5E%28-5%29+=+1%2Fx%5E5\"
\n" ); document.write( "that's based on the laws of exponents.
\n" ); document.write( "substituting in your original expression, then:
\n" ); document.write( "\"1%2Fx%5E%28-5%29\" equals \"1%2F%281%2Fx%5E5%29\"
\n" ); document.write( "this is equivalent to:
\n" ); document.write( "\"1%2F%281%2Fx%5E5%29\" equals \"1%2A%28x%5E5%2F1%29\" which equals \"x%5E5\".
\n" ); document.write( "the simple way to handle it is:
\n" ); document.write( "if the term with the negative exponent is in the numerator, then move it to the denominator and make the exponent positive.
\n" ); document.write( "if the term with the negative exponent is in the denominator, then move it to the numerator and make the exponent positive.
\n" ); document.write( "care must be taken to move only the term with the exponent.
\n" ); document.write( "example 1:
\n" ); document.write( "\"3x%5E%28-5%29\" equals \"3%2Fx%5E5\".
\n" ); document.write( "the term with the negative exponent is x, not 3x.
\n" ); document.write( "example 2:
\n" ); document.write( "\"%283x%29%5E%28-5%29\" equals \"1%2F%283x%29%5E5\"
\n" ); document.write( "here the term with the negative exponent is 3x because 3x is enclosed in parentheses and the term in the parentheses is being raised to the negative power.
\n" ); document.write( "example 3:
\n" ); document.write( "\"3a%5E%28-5%29+%2F+%28%285b%29%5E-7%29\"
\n" ); document.write( "this becomes:
\n" ); document.write( "\"%283%2A%285b%29%5E7%29%2Fa%5E5\"
\n" ); document.write( "the 3 in the numerator is not brought down to the denominator because it is not part of the term that is being raised to the negative exponent.
\n" ); document.write( "the (5b) in the denominator is brought to the numerator because it is part of the term that is being raised to the negative exponent.
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