document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=461433>Question 461433</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (-2m^6n)(3m^4)^2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #316449 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=316449\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify (-2m^6n)(3m^4)^2.<BR>\n" );
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document.write( "I want to make sure that I'm solving the problem you intended for me to solve. This is how your \"computer-version\" would look in a textbook:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2m%5E6n%29%283m%5E4%29%5E2 ALIGN=MIDDLE  ALT=\"%28-2m%5E6n%29%283m%5E4%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Let's take care of the exponent first. We use the Power Property for Exponents (When raising an exponential expression to a power, MULTIPLY the exponents, 4*2 = 8.) We square each number and variable inside the parentheses:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2m%5E6n%29%289m%5E8%29 ALIGN=MIDDLE  ALT=\"%28-2m%5E6n%29%289m%5E8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Next, we multiply the coefficients together (-2*9 = -18). Then we multiply the variables together. It is important to notice that we have two variables here, m and n. We can only combine like terms. We use the Product Property for Exponents to multiply m^6 by m^8. (When multiplying exponential expressions together, ADD the exponents, 6 + 8 = 14.) We cannot multiply n by anything since it has no like terms in this expression. We get<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-18m%5E14n ALIGN=MIDDLE  ALT=\"-18m%5E14n\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Hope this helps!<BR>\n" );
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document.write( "Ms. Figgy<BR>\n" );
document.write( "math-in-the-vortex<BR>\n" );
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