document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86546>Question 86546</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the simplest form of (2x^3y)(4x^2y^3)<BR>\n" );
document.write( "a. 8x^6y^3<BR>\n" );
document.write( "b. 2xy<BR>\n" );
document.write( "c. 2x^6y^3<BR>\n" );
document.write( "d. 8x^5y^4<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62597 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=62597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the given expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E3y%29%284x%5E2y%5E3%29 ALIGN=MIDDLE  ALT=\"%282x%5E3y%29%284x%5E2y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "When you multiply common bases with exponents, you add the exponents\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E%283%2B2%29y%5E%281%2B3%29%29%284%29 ALIGN=MIDDLE  ALT=\"%282x%5E%283%2B2%29y%5E%281%2B3%29%29%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  Add the exponents  (note: the variables and exponents of the 2nd parenthesis now equal 1. So we don't need to bother with writing them out)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E5y%5E4%29%284%29 ALIGN=MIDDLE  ALT=\"%282x%5E5y%5E4%29%284%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E5y%5E4%29 ALIGN=MIDDLE  ALT=\"%288x%5E5y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8 ALIGN=MIDDLE  ALT=\"8\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the expression\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282x%5E3y%29%284x%5E2y%5E3%29 ALIGN=MIDDLE  ALT=\"%282x%5E3y%29%284x%5E2y%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "simplifies to\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288x%5E5y%5E4%29 ALIGN=MIDDLE  ALT=\"%288x%5E5y%5E4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the answer is d) </SPAN>\n" );
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