document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=219489>Question 219489</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 3^9 . (x^2 y)^-2/ 3^3 . x^-4 y\r<BR>\n" );
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document.write( "answer: 3^6/y^3 or 729/y^3\r<BR>\n" );
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document.write( "how did my math book get this answer and  can anyone explain by defintions and rules for exponents  i got as far as 3^6 power  by quotient rule but then i got stuck by the rest  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #165047 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=165047\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3^9\cdot\left(x^2y\right)^{-2}}{3^3\cdot x^{-4}y}\">\r<BR>\n" );
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document.write( "Start with <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \left(a^m\right)^n = a^{mn}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a = a^1\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3^9\cdot x^{\left(2\cdot -2\right)}y^{\left(1\cdot -2\right)}}{3^3\cdot x^{-4}y}\ =\ \frac{3^9\cdot x^{-4}y^{-2}}{3^3\cdot x^{-4}y}\">\r<BR>\n" );
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document.write( "Next use <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{a}{a} = 1\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3^9\cdot y^{-2}}{3^3\cdot y}\">\r<BR>\n" );
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document.write( "Next use <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a^{-n} = \frac{1}{a^n}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a^m\cdot a^n = a^{m+n}\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3^9}{3^3\cdot y^2\cdot y}\ =\ \frac{3^9}{3^3\cdot y^{2+1}}\ =\ \frac{3^9}{3^3\cdot y^3}\">\r<BR>\n" );
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document.write( "Finally, use <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{a^m}{a^n}\ =\ a^{m-n}\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \frac{3^{9-3}}{y^3}\ =\ \frac{3^{6}}{y^3}\ =\ \frac{729}{y^3}\">\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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