document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996847>Question 996847</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify. leave no negative exponents ONLY positive exponents\r<BR>\n" );
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document.write( "(2m^3n)^2 (3m^-2n) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615150 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=615150\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> this is clearer if it's written than if it's typed, so .....\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2015/101504.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "i checked this by making m = 5 and n  = 3 and evaluating the original expression and the final expression to see if they came up with the same answer.\r<BR>\n" );
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document.write( "they did which confirmed the solution was good.\r<BR>\n" );
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document.write( "basic concepts involved are:\r<BR>\n" );
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document.write( "(a^b)^c = a^(b*c)\r<BR>\n" );
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document.write( "(a^b * c^d)^e = a^(b*e) * c^(d*e)\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "(2^3)^2 = 2^(3*2) = 2^6<BR>\n" );
document.write( "(2^3)^2 = 64 (original expression)<BR>\n" );
document.write( "2^6 = 64 (final expression)\r<BR>\n" );
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document.write( "(2^3*3^4)^2 = 2^(3*2) * 3^(4*2) = 2^6 * 3^8<BR>\n" );
document.write( "(2^3*3^4)^2 = 419904 (original expression)<BR>\n" );
document.write( "2^^ * 3^8 = 419904 (final expression)\r<BR>\n" );
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document.write( "also:\r<BR>\n" );
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document.write( "a^b / a^c = a^(b-c)\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "2^5 / 2^3 = 2^(5-3) = 2^2<BR>\n" );
document.write( "2^5 / 2^3 = 4 (original expression)<BR>\n" );
document.write( "2^2 = 4 (final expression\r<BR>\n" );
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document.write( "here's a reference that should be helpful if you wish to take the time to read it.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut26_exp.htm\" target = \"_blank\">http://www.wtamu.edu/academic/anns/mps/math/mathlab/beg_algebra/beg_alg_tut26_exp.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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