document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133646>Question 1133646</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Of the numbers in the set {3^5000,4^4000,5^3000,6^2000,7^1000}, which is the largest? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #750889 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750889\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( " in the set {3^5000,4^4000,5^3000,6^2000,7^1000}\r<BR>\n" );
document.write( "\n" );
document.write( "rewrite <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E4000 ALIGN=MIDDLE  ALT=\"4%5E4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%5E2%29%5E4000=2%5E8000 ALIGN=MIDDLE  ALT=\"%282%5E2%29%5E4000=2%5E8000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " {3^5000,2^8000,5^3000,6^2000,7^1000}\r<BR>\n" );
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document.write( "compare exponents:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8000%3E5000%3E3000%3E2000%3E1000 ALIGN=MIDDLE  ALT=\"8000%3E5000%3E3000%3E2000%3E1000\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E4000 ALIGN=MIDDLE  ALT=\"4%5E4000\"   DISABLED_style= \"max-width:90%; height:auto;\" > is largest\r<BR>\n" );
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document.write( "check:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E%285000%29=4.0389976297871553397%2A+10%5E2385 ALIGN=MIDDLE  ALT=\"3%5E%285000%29=4.0389976297871553397%2A+10%5E2385\"   DISABLED_style= \"max-width:90%; height:auto;\" >-> compare exponents again<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%5E%284000%29=1.73766203193809456+%2Ahighlight%2810%5E2408%29 ALIGN=MIDDLE  ALT=\"4%5E%284000%29=1.73766203193809456+%2Ahighlight%2810%5E2408%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%5E%283000%29=8.12854862555773544%2A10%5E2096 ALIGN=MIDDLE  ALT=\"5%5E%283000%29=8.12854862555773544%2A10%5E2096\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%5E%282000%29=2.0067846354902095384%2A+10%5E1556 ALIGN=MIDDLE  ALT=\"6%5E%282000%29=2.0067846354902095384%2A+10%5E1556\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%5E%281000%29=1.2532566399657183181%2A+10%5E845 ALIGN=MIDDLE  ALT=\"7%5E%281000%29=1.2532566399657183181%2A+10%5E845\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );