document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=181120>Question 181120</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify and evaluate: (x^3y^-4/5x^6y^-8z^0)^3<BR>\n" );
document.write( "I've been getting the answer of x^6y^8/125xy12.  Please help me understand whaere I'm going wrong. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135780 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=135780\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math \left(\frac {x^3 y^{(-4)}}{5x^6y^{(-8)}z^0}\right)^3\">\r<BR>\n" );
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document.write( "I really can't tell where you went wrong on this.  \r<BR>\n" );
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document.write( "Remember a couple of rules:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math a^{-n} = \frac {1}{a^n}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math \frac{a^n}{a^m} = a^{n-m}\">\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math a^0= 1\">\r<BR>\n" );
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document.write( "So, let's first get rid of all of the negative and zero exponents:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math \left(\frac {x^3 y^{8}}{5x^6y^{4}}\right)^3\">\r<BR>\n" );
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document.write( "The <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^{(-8)}\"> goes from the denominator to the numerator and becomes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^8\">, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^{(-4)}\"> goes from the numerator to the denominator and becomes <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y^4\">, and finally, the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large z^0\"> just goes away because it is equal to 1.\r<BR>\n" );
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document.write( "Next apply <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{a^n}{a^m} = a^{n-m}\">:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math \left(\frac {y^4}{5x^3}\right)^3\">\r<BR>\n" );
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document.write( "One last rule:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math a^n^m = a^{nm}\">, so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \text {          }\math \frac {y^{12}}{125x^9}\">\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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