document.write( "Question 639861: Hi
\n" ); document.write( "This question has to do with negative exponents. I am trying to rewrite this expression without negative exponents.\r
\n" ); document.write( "\n" ); document.write( "a^-1 - b^-1
\n" ); document.write( "___________
\n" ); document.write( "a^-3 - b^-3\r
\n" ); document.write( "\n" ); document.write( "I believe the answer is:\r
\n" ); document.write( "\n" ); document.write( "a^2b^2
\n" ); document.write( "_________________
\n" ); document.write( "a^2+ab+b^2\r
\n" ); document.write( "\n" ); document.write( "I just don't know the steps on how to get there.\r
\n" ); document.write( "\n" ); document.write( "Thank you
\n" ); document.write( "Regards
\n" ); document.write( "Mike
\n" ); document.write( "

Algebra.Com's Answer #403114 by sachi(548)\"\" \"About 
You can put this solution on YOUR website!
a^-1 - b^-1
\n" ); document.write( "__________
\n" ); document.write( "a^-3 - b^-3\r
\n" ); document.write( "\n" ); document.write( "=(1/a-1/b)/(1/a^3-1/b^3)
\n" ); document.write( "=[(b-a)/ab]/[(b^3-a^3)/a^3b^3]
\n" ); document.write( "=[(b-a)/(b^3-a^3)]
\n" ); document.write( "=[(b-a)/(b-a)(b^2+a^2+ab)]
\n" ); document.write( "=[1/(b^2+a^2+ab)]
\n" ); document.write( "=a^2b^2/(b^2+a^2+ab) ans
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