document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86545>Question 86545</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the expended form of 2(a^2b^3c)^2<BR>\n" );
document.write( "a. 4aaaabbbbcc<BR>\n" );
document.write( "b. 2aaaabbbbbcccc<BR>\n" );
document.write( "c. 4aaaabbbbbccc<BR>\n" );
document.write( "d. 2aaaabbbbbbcc </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62600 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=62600\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%28a%5E2b%5E3c%29%5E2 ALIGN=MIDDLE  ALT=\"2%28a%5E2b%5E3c%29%5E2\"   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=2%28a%5E2b%5E3c%29%28a%5E2b%5E3c%29 ALIGN=MIDDLE  ALT=\"2%28a%5E2b%5E3c%29%28a%5E2b%5E3c%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand\r<BR>\n" );
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document.write( "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=2%28a%5E2b%5E3c%29%28a%5E2b%5E3c%29 ALIGN=MIDDLE  ALT=\"2%28a%5E2b%5E3c%29%28a%5E2b%5E3c%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=2a%5E%282%2B2%29b%5E%283%2B3%29c%5E%281%2B1%29 ALIGN=MIDDLE  ALT=\"2a%5E%282%2B2%29b%5E%283%2B3%29c%5E%281%2B1%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=2a%5E4b%5E6c%5E2 ALIGN=MIDDLE  ALT=\"2a%5E4b%5E6c%5E2\"   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=2%28a%5E2b%5E3c%29%5E2 ALIGN=MIDDLE  ALT=\"2%28a%5E2b%5E3c%29%5E2\"   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=2a%5E4b%5E6c%5E2 ALIGN=MIDDLE  ALT=\"2a%5E4b%5E6c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which really looks like \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2aaaabbbbbbcc ALIGN=MIDDLE  ALT=\"2aaaabbbbbbcc\"   DISABLED_style= \"max-width:90%; height:auto;\" > note: there are 4 a's, 6 b's, and 2 c's\r<BR>\n" );
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document.write( "so the answer is d)<BR>\n" );
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