document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=118813>Question 118813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good evening ma'am or sir, would you please help me on how to solve these 4 equations : \r<BR>\n" );
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document.write( "1). 48ab^2c(4abc^0)^-2<BR>\n" );
document.write( "2). 3x^0-n^-2 / -(3m-n)<BR>\n" );
document.write( "3). (144*125 / 2^3*3^2)^-1<BR>\n" );
document.write( "4). ab^-2 - a^-2b<BR>\n" );
document.write( " Thank you very much ma'am or sir for your generosity. :) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #87001 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=87001\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How to solve these 4 equations :<BR>\n" );
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document.write( "These are not equations (no equal sign), you can't solve them;.<BR>\n" );
document.write( "You can factor/simplify them, which is probably what you want you to do:<BR>\n" );
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document.write( "1). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48ab%5E2c%284abc%5E0%29%5E-2 ALIGN=MIDDLE  ALT=\"48ab%5E2c%284abc%5E0%29%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "First of all any number, raised to ^0 = 1 so we can write:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=48ab%5E2c%284ab%29%5E-2 ALIGN=MIDDLE  ALT=\"48ab%5E2c%284ab%29%5E-2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "A negative exponent can be made positive by using the reciprocal, so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848ab%5E2c%29%2F%284ab%29%5E2 ALIGN=MIDDLE  ALT=\"%2848ab%5E2c%29%2F%284ab%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Square each term inside the brackets (denominator)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2848ab%5E2c%29%2F%2816a%5E2b%5E2%29 ALIGN=MIDDLE  ALT=\"%2848ab%5E2c%29%2F%2816a%5E2b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "CAncel and you have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283c%29%2Fa ALIGN=MIDDLE  ALT=\"%283c%29%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "2). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283x%5E0-n%5E-2%29%2F%28-%283m-n%29%29 ALIGN=MIDDLE  ALT=\"%283x%5E0-n%5E-2%29%2F%28-%283m-n%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "Follow the rules that we illustrated in the 1st one:<BR>\n" );
document.write( "The reciprocal gets rid of the neg exponent, removing the bracket changes the signs<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283+-+%281%2Fn%5E2%29%29%2F%28-3m%2Bn%29 ALIGN=MIDDLE  ALT=\"%283+-+%281%2Fn%5E2%29%29%2F%28-3m%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >; <BR>\n" );
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document.write( "Put the numerator into a single fraction form<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283n%5E2+-+1%29%2Fn%5E2%29%2F%28-3m%2Bn%29 ALIGN=MIDDLE  ALT=\"%28%283n%5E2+-+1%29%2Fn%5E2%29%2F%28-3m%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Which is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%283n%5E2+-+1%29%2Fn%5E2%29 ALIGN=MIDDLE  ALT=\"%28%283n%5E2+-+1%29%2Fn%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > * <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-3m%2Bn%29 ALIGN=MIDDLE  ALT=\"1%2F%28-3m%2Bn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n%5E2-1%29%2F%28n%5E2%28-3m%2Bn%29%29 ALIGN=MIDDLE  ALT=\"%283n%5E2-1%29%2F%28n%5E2%28-3m%2Bn%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283n%5E2-1%29%2F%28%28-3mn%5E2%2Bn%5E3%29%29 ALIGN=MIDDLE  ALT=\"%283n%5E2-1%29%2F%28%28-3mn%5E2%2Bn%5E3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "3). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28144%2A125%29%2F%282%5E3%2A3%5E2%29%29%5E-1 ALIGN=MIDDLE  ALT=\"%28%28144%2A125%29%2F%282%5E3%2A3%5E2%29%29%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Do the math and invert to get rid of the ^-1:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28144%2A125%29%2F%288%2A9%29%29%5E-1 ALIGN=MIDDLE  ALT=\"%28%28144%2A125%29%2F%288%2A9%29%29%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2818000%2F72%29%5E-1 ALIGN=MIDDLE  ALT=\"%2818000%2F72%29%5E-1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=72%2F18000 ALIGN=MIDDLE  ALT=\"72%2F18000\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F250 ALIGN=MIDDLE  ALT=\"1%2F250\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "4). <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28ab%5E-2%29+-+%28a%5E-2b%29 ALIGN=MIDDLE  ALT=\"%28ab%5E-2%29+-+%28a%5E-2b%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb%5E2 ALIGN=MIDDLE  ALT=\"a%2Fb%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa%5E2 ALIGN=MIDDLE  ALT=\"b%2Fa%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >; using the reciprocals to get rid of the negative exponents<BR>\n" );
document.write( "To put this over a single denominator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%5E3+-+b%5E3%29%2F%28a%5E2b%5E2%29 ALIGN=MIDDLE  ALT=\"%28a%5E3+-+b%5E3%29%2F%28a%5E2b%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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