document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=33068>Question 33068</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0939798425/algebrahomeworkh>Saxon Algebra 1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand how to figure out least common multiples when there are exponents involved?\r<BR>\n" );
document.write( "\n" );
document.write( "ex.  4c^3, c^2, and 3c^4\r<BR>\n" );
document.write( "\n" );
document.write( "OK, so it's 4*c*c*c, c*c, and 3*c*c*c*c.....<BR>\n" );
document.write( "so, 4*3*c*c*c*c\r<BR>\n" );
document.write( "\n" );
document.write( "The answer is 12c^4, but WHY do we use the greatest exponent....c^3 doesn't go into c^4.....??????\r<BR>\n" );
document.write( "\n" );
document.write( "Rebecca </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #19517 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=19517\">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=4c%5E3 ALIGN=MIDDLE  ALT=\"4c%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c%5E4 ALIGN=MIDDLE  ALT=\"3c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. What is common to all three terms? The answer is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >... this is your lowest common multiple\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Written out fully, we have:<BR>\n" );
document.write( "4*c*c*c<BR>\n" );
document.write( "c*c<BR>\n" );
document.write( "3*c*c*c*c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Looking at these, what appears in all of them is just c*c --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "I have no idea how you got <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c%5E4 ALIGN=MIDDLE  ALT=\"12c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. This is NOT correct.<BR>\n" );
document.write( "++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++\r<BR>\n" );
document.write( "\n" );
document.write( "OK, i just posted the reply then understood the question :-)<BR>\n" );
document.write( "What you want is the lowest terms that all these 3 terms go into. OK....Then the answer IS <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c%5E4 ALIGN=MIDDLE  ALT=\"12c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > :-)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Explanation:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12c%5E4 ALIGN=MIDDLE  ALT=\"12c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 3*4*c*c*c*c\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Now, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4c%5E3 ALIGN=MIDDLE  ALT=\"4c%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > can be seen in 3*4*c*c*c*c as shown by (4*c*c*c)(3*c)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E2 ALIGN=MIDDLE  ALT=\"c%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > can also be seen in 3*4*c*c*c*c as shown by (c*c)(3*4*c*c)<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3c%5E4 ALIGN=MIDDLE  ALT=\"3c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > can also be seen in 3*4*c*c*c*c as shown by (3*c*c*c*c)(4)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "So to answer your confusion at the end... <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E3 ALIGN=MIDDLE  ALT=\"c%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > does go into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c%5E4 ALIGN=MIDDLE  ALT=\"c%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >...c times.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is IDENTICAL to asking does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > go into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" >? Well this is asking does 8 go into 16. Answer is YES....2 times. \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This is because we have 2*2*2 and 2*2*2*2. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3 ALIGN=MIDDLE  ALT=\"2%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > goes into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E4 ALIGN=MIDDLE  ALT=\"2%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > as (2*2*2)*(2)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps?\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );