document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=742012>Question 742012</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify: (-5a^2)(-6b^3)^2<BR>\n" );
document.write( "I am getting a horrible grade in algebra and I REALLY REALLY NEED HELP!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #452242 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=452242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Exponentiation first.  the 'a' is already taken care.  The b is part of a grouped expression which itself is to be exponentiated.  Work first with the -6b^3, which is given an exponent of 2.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6%29%28-6%29%28b%5E3%29%2A%28b%5E3%29 ALIGN=MIDDLE  ALT=\"%28-6%29%28-6%29%28b%5E3%29%2A%28b%5E3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2B36%29b%5E6 ALIGN=MIDDLE  ALT=\"%28%2B36%29b%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now you can partly simplify the given expression:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5a%5E2%29%28-6b%5E3%29%5E2 ALIGN=MIDDLE  ALT=\"%28-5a%5E2%29%28-6b%5E3%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-5a%5E2%29%2836b%5E6%29 ALIGN=MIDDLE  ALT=\"%28-5a%5E2%29%2836b%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since all numbers, exponentiated and not, are present as factors, take advantage of associative property of multiplication - in fact no grouping symbols needed further, so,...<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2A5a%5E2%2A36b%5E6 ALIGN=MIDDLE  ALT=\"-1%2A5a%5E2%2A36b%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Take advantage of commutative property of multiplication, and get...<BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2A5%2A36%2Aa%5E2%2Ab%5E6 ALIGN=MIDDLE  ALT=\"-1%2A5%2A36%2Aa%5E2%2Ab%5E6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28-180a%5E2%2Ab%5E6%29 ALIGN=MIDDLE  ALT=\"highlight%28-180a%5E2%2Ab%5E6%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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