document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=52695>Question 52695</A>: <I><SPAN STYLE=\"word-break: break-all;\"> simplify the following expression and rewrite using only positive exponents:<BR>\n" );
document.write( "(assume that the bases are not zero)\r<BR>\n" );
document.write( "\n" );
document.write( "(2abc^5)^3(3a^4b^-4c^-3)^3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #35168 by </B><A HREF=/tutors/aboutme.mpl?userid=funmath><B>funmath(2933)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=funmath><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=35168\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I may not be understanding the way you typed this in, but here's what I think you meant:<BR>\n" );
document.write( "(2abc^5)^3(3a^(4)b^(-4)c^(-3))^3<BR>\n" );
document.write( "Multiply the exponents on the outside of the parenthesese by the exponents on the inside of the parenthesese.<BR>\n" );
document.write( "(2^(1*3)a^(1*3)b^(1*3)c^(5*3))(3^(1*3)a^(4*3)b^(-4*3)c^(-3*3))<BR>\n" );
document.write( "(2^(3)a^(3)b^(3)c^(15))(3^(3)a^(12)b^(-12)c^(-9))<BR>\n" );
document.write( "When multiplying like bases, add their exponents.<BR>\n" );
document.write( "2^(3)*3^(3)*a^(3+12)*b^(3+(-12))c^(15+(-9))<BR>\n" );
document.write( "8*27a^(15)b^(-9)c^(6)<BR>\n" );
document.write( "Negative exponents mean that if its base is a numerator it becomes a denominator and the exponent becomes positive.<BR>\n" );
document.write( "(216a^(15)c^(6))/(b^(9)) </SPAN>\n" );
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