document.write( "Question 639861: Hi
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document.write( "This question has to do with negative exponents. I am trying to rewrite this expression without negative exponents.\r
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document.write( "a^-1 - b^-1
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document.write( "___________
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document.write( "a^-3 - b^-3\r
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document.write( "I believe the answer is:\r
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document.write( "a^2b^2
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document.write( "_________________
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document.write( "a^2+ab+b^2\r
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document.write( "I just don't know the steps on how to get there.\r
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document.write( "Thank you
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document.write( "Regards
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document.write( "Mike \n" );
document.write( "
Algebra.Com's Answer #403114 by sachi(548)![]() ![]() 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 \n" ); document.write( " \n" ); document.write( " |