document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=905303>Question 905303</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello Tutors!<BR>\n" );
document.write( "I'm preparing for NMAT. Can you please teach me how to solve problems like this: (3^n+2) ÷ (3^n+3 - 3^n+1)? \r<BR>\n" );
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document.write( "Note: This symbol (^) is the exponent of the three # 3s. The (^n+2) is the exponent of the first # 3; (^n+3) is the exponent of the second # 3; and the (^n+1) is the exponents of the third # 3.\r<BR>\n" );
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document.write( "I would really appreciate your help.<BR>\n" );
document.write( "Thank you. :-)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #549148 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=549148\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> i'll take a stab at it.\r<BR>\n" );
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document.write( "start with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B2%29+%2F+%283%5E%28n%2B3%29+-+3%5E%28n%2B1%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B2%29+%2F+%283%5E%28n%2B3%29+-+3%5E%28n%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "factor out the greatest common factor from the denominator to get:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B2%29+%2F+%283%5E%28n%2B1%29+%2A+%283%5E2+-+1%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B2%29+%2F+%283%5E%28n%2B1%29+%2A+%283%5E2+-+1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "the factoring is correct because, by the laws of exponent arithmetic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B1%29+%2A+3%5E2 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B1%29+%2A+3%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B1%2B2%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B1%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B3%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and, by the same laws:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B1%29+%2A+1 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B1%29+%2A+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B1%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2+-+1 ALIGN=MIDDLE  ALT=\"3%5E2+-+1\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >, your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B2%29+%2F+%283%5E%28n%2B1%29+%2A+8%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B2%29+%2F+%283%5E%28n%2B1%29+%2A+8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "by the laws of exponent arithmetic:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B2%29+%2F+3%5E%28n%2B1%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B2%29+%2F+3%5E%28n%2B1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28%28n%2B2%29+-+%28n%2B1%29%29 ALIGN=MIDDLE  ALT=\"3%5E%28%28n%2B2%29+-+%28n%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%28n%2B2-n-1%29 ALIGN=MIDDLE  ALT=\"3%5E%28n%2B2-n-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%281%29 ALIGN=MIDDLE  ALT=\"3%5E%281%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3 ALIGN=MIDDLE  ALT=\"3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "your expression becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "that's your solution.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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