document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=639861>Question 639861</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi<BR>\n" );
document.write( "This question has to do with negative exponents. I am trying to rewrite this expression without negative exponents.\r<BR>\n" );
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document.write( "a^-1 - b^-1<BR>\n" );
document.write( "___________<BR>\n" );
document.write( "a^-3 - b^-3\r<BR>\n" );
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document.write( "I believe the answer is:\r<BR>\n" );
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document.write( "a^2b^2<BR>\n" );
document.write( "_________________<BR>\n" );
document.write( "a^2+ab+b^2\r<BR>\n" );
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document.write( "I just don't know the steps on how to get there.\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
document.write( "Regards<BR>\n" );
document.write( "Mike </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #403124 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=403124\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hi<BR>\n" );
document.write( "This question has to do with negative exponents. I am trying to rewrite this expression without negative exponents.\r<BR>\n" );
document.write( "\n" );
document.write( "a^-1 - b^-1<BR>\n" );
document.write( "___________<BR>\n" );
document.write( "a^-3 - b^-3\r<BR>\n" );
document.write( "\n" );
document.write( "I believe the answer is:\r<BR>\n" );
document.write( "\n" );
document.write( "a^2b^2<BR>\n" );
document.write( "_________________<BR>\n" );
document.write( "a^2+ab+b^2\r<BR>\n" );
document.write( "\n" );
document.write( "I just don't know the steps on how to get there.\r<BR>\n" );
document.write( "\n" );
document.write( "Thank you<BR>\n" );
document.write( "Regards<BR>\n" );
document.write( "Mike\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E-1+-+b%5E-1%29%2F%28a%5E-3+-+b%5E-3%29 ALIGN=MIDDLE  ALT=\"%28a%5E-1+-+b%5E-1%29%2F%28a%5E-3+-+b%5E-3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's change these negative-exponent expressions to positive-exponent expressions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fa%5E1+-+1%2Fb%5E1%29%2F%281%2Fa%5E3+-+1%2Fb%5E3%29 ALIGN=MIDDLE  ALT=\"%281%2Fa%5E1+-+1%2Fb%5E1%29%2F%281%2Fa%5E3+-+1%2Fb%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fa+-+1%2Fb%29 ALIGN=MIDDLE  ALT=\"%281%2Fa+-+1%2Fb%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ÷ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fa%5E3+-+1%2Fb%5E3%29 ALIGN=MIDDLE  ALT=\"%281%2Fa%5E3+-+1%2Fb%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b+-+a%29%2Fab%29 ALIGN=MIDDLE  ALT=\"%28%28b+-+a%29%2Fab%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ÷ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b%5E3+-+a%5E3%29%2Fa%5E3b%5E3%29 ALIGN=MIDDLE  ALT=\"%28%28b%5E3+-+a%5E3%29%2Fa%5E3b%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b+-+a%29%2Fab%29+%2A+%28a%5E3b%5E3%2F%28b%5E3+-+a%5E3%29%29 ALIGN=MIDDLE  ALT=\"%28%28b+-+a%29%2Fab%29+%2A+%28a%5E3b%5E3%2F%28b%5E3+-+a%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ----- Change division to multiplication and invert\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28b+-+a%29%2Fab%29+%2A+%28a%5E3b%5E3%2F%28%28b+-+a%29%28b%5E2+%2B+ab+%2B+a%5E2%29%29%29 ALIGN=MIDDLE  ALT=\"%28%28b+-+a%29%2Fab%29+%2A+%28a%5E3b%5E3%2F%28%28b+-+a%29%28b%5E2+%2B+ab+%2B+a%5E2%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ---- Factoring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%5E3+-+a%5E3 ALIGN=MIDDLE  ALT=\"b%5E3+-+a%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28cross%28b+-+a%29%29%2Fcross%28ab%29%29+%2A+%28a%5E2cross%28a%5E3%29b%5E2cross%28b%5E3%29%2F%28%28cross%28b+-+a%29%29%28b%5E2+%2B+ab+%2B+a%5E2%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > ------ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28a%5E2b%5E2%29%2F%28b%5E2+%2B+ab+%2B+a%5E2%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28a%5E2b%5E2%29%2F%28b%5E2+%2B+ab+%2B+a%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com </SPAN>\n" );
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