document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=618712>Question 618712</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the product of -6x3 and 2x5 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #389054 by </B><A HREF=/tutors/aboutme.mpl?userid=math-vortex><B>math-vortex(648)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math-vortex><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=math-vortex><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=389054\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi, there--<BR>\n" );
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document.write( "You will need to use exponent rules to solve this problem. When you multiply two exponential expressions you add the exponents.<BR>\n" );
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document.write( "We need to deal with the coefficients and variables separately. Let's start with the coefficients, -6 and 2. When we multiply these together we get -12. This gives us,<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-6x%5E3%29%282x%5E5%29=-12%2A%28x%5E3%29%28x%5E5%29 ALIGN=MIDDLE  ALT=\"%28-6x%5E3%29%282x%5E5%29=-12%2A%28x%5E3%29%28x%5E5%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now we multiply the variables. \"x-cubed\" times \"x to the fifth power\" is \"x to the eighth power\" since 3+5 is 8. So, <BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-12%2A%28x%5E3%29%28x%5E5%29=-12x%5E8 ALIGN=MIDDLE  ALT=\"-12%2A%28x%5E3%29%28x%5E5%29=-12x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "You might be wondering how this \"add the exponents when you multiply\" rule works. Check this out...<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E3=x%2Ax%2Ax ALIGN=MIDDLE  ALT=\"x%5E3=x%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E5=x%2Ax%2Ax%2Ax%2Ax ALIGN=MIDDLE  ALT=\"x%5E5=x%2Ax%2Ax%2Ax%2Ax\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When we multiply them together, we have eight factors of x, so<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%5E3%29%28x%5E5%29=x%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax=x%5E8 ALIGN=MIDDLE  ALT=\"%28x%5E3%29%28x%5E5%29=x%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax%2Ax=x%5E8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope that helps. Feel free to email me at math.in.the.vortex@gmail.com if you have any questions about this.<BR>\n" );
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document.write( "Ms.Figgy<BR>\n" );
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