document.write( "Question 286387: My problem is this:
\n" ); document.write( " What is the answer to the following fraction that has X to the negative 2 over x to the negative 1 minus x to the negative 2
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Algebra.Com's Answer #207734 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
Fractions do not have questions and therefore do not have answers.
\n" ); document.write( "Perhaps you would like it reduced or simplified?\r
\n" ); document.write( "\n" ); document.write( "Is this the fraction?
\n" ); document.write( "\"x%5E%28-2%29%2F%28x%5E%28-1%29-x%5E%28-2%29%29\"
\n" ); document.write( "Learn to write in math talk and use plenty of parentheses
\n" ); document.write( "Your problem can be interpreted many ways\r
\n" ); document.write( "\n" ); document.write( "x^(-2)/(x^(-1)-x^(-2))
\n" ); document.write( "The key is that x^(-2)=1/x^2
\n" ); document.write( "and x^(-1)=1/x
\n" ); document.write( "so we redo the equation
\n" ); document.write( "\"%281%2Fx%5E2%29%2F%281%2Fx-1%2Fx%5E2%29\"
\n" ); document.write( "multiply through by x^2/x^2
\n" ); document.write( "1/(x-1)
\n" ); document.write( "BTW we could have multiplied by x^2/x^2 in the beginning without redoing.
\n" ); document.write( "x^(-2)/(x^(-1)-x^(-2))
\n" ); document.write( "1/x-1
\n" ); document.write( "Remember that x^(-2)*x^(2)=x^0=1
\n" ); document.write( "so the final result is 1/(x-1)
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