document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=73984>Question 73984</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the answer i get does not match with the answer i was given, can you help?<BR>\n" );
document.write( "multiply...\r<BR>\n" );
document.write( "\n" );
document.write( "-3a^2b over 35a^5 multiplied by 14a^3b^2 over -9b^4 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #52993 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=52993\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (\frac{-3a^2b}{35a^5})(\frac{14a^3b^2}{-9b^4})\">When you multiply identical bases with exponents, you add the exponents (ie <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x^2*x^2=x^{2+2}=x^4\"> note: bases must be the same).<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-42a^{2+3}b^{1+2}}{-315a^{5}b^4}\">Multiply the common bases together and the constants together. When you divide bases with exponents, you subtract the exponents (ex <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{x^5}{x^2}=x^{5-2}=x^3\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-42a^{5-5}b^{3-4}}{-315}\"> Divide identical bases by subtracting exponents.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-42a^0b^{-1}}{-315}\">Rewrite <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large b^{-1} to \frac{1}{b^1}\"> and <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large a^0\"> to 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-42}{-315b}\">Reduce the fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2}{15b}\">Here is the simplified form<BR>\n" );
document.write( "<p><BR>\n" );
document.write( "Check:<BR>\n" );
document.write( "Let a=1 and b=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (\frac{-3a^2b}{35a^5})(\frac{14a^3b^2}{-9b^4})\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (\frac{-3(2)}{35})(\frac{14(2)^2}{-9(2)^4})\">Plug in values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large (\frac{-6}{35})(\frac{56}{-144})\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{-336}{-5040}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{15}\"><BR>\n" );
document.write( "Now lets compare this to our answer<BR>\n" );
document.write( "Let a=1 and b=2<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2}{15b}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2}{15(2)}\">Plug in values<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{2}{30}\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \frac{1}{15}\"><BR>\n" );
document.write( "Since these 2 answers are equal, it verifies our answer. Hope this helps. </SPAN>\n" );
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