document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=577995>Question 577995</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,<BR>\n" );
document.write( "I'm really confused as to how I should solve this problem, and I am not quite ready to trust the calculator, for I have used it in the past and have gotten questions wrong because of it.<BR>\n" );
document.write( "Here is the problem: (3abc^3)^3(2ab^2)(a^-4*7b) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #370481 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=370481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> It is just a bunch of factors multiplied, that can be multiplied in any order.<BR>\n" );
document.write( "As for the exponents, in a power of a power, exponents are multiplied, as is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28c%5E3%29%5E3=c%5E%283%2A3%29=c%5E9 ALIGN=MIDDLE  ALT=\"%28c%5E3%29%5E3=c%5E%283%2A3%29=c%5E9\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and in a product of powers of the same base, the exponents are added, as in<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Ab%5E2%2Ab=b%5E1%2Ab%5E2%2Ab%5E1=b%5E%281%2B2%2B1%29=b%5E4 ALIGN=MIDDLE  ALT=\"b%2Ab%5E2%2Ab=b%5E1%2Ab%5E2%2Ab%5E1=b%5E%281%2B2%2B1%29=b%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The product simplifies like this:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283abc%5E3%29%5E3%282ab%5E2%29%28a%5E%28-4%29%2A7b%29=3%5E3a%5E3b%5E3%28c%5E3%29%5E3%282ab%5E2%29%28a%5E%28-4%29%2A7b%29=%0D%0A9a%5E3b%5E3c%5E9%282ab%5E2%29%28a%5E%28-4%29%2A7b%29=9%2A2%2A7a%5E3aa%5E%28-4%29bb%5E2bc%5E9=126a%5E%283%2B1-4%29b%5E%281%2B2%2B1%29c%5E9=126a%5E0b%5E4c%5E9=126%2A1%2Ab%5E4c%5E9=126b%5E4c%5E9 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The calculator probably correctly answered the question you asked, but you probably asked the wrong question, or did not use the same language the calculator uses.<BR>\n" );
document.write( "I believe nowadays all calculators use algebraic notation. That means that they know enough algebra to understand that<BR>\n" );
document.write( "20-10/5-3=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=20-10%2F5-3=20-2-3=15 ALIGN=MIDDLE  ALT=\"20-10%2F5-3=20-2-3=15\"   DISABLED_style= \"max-width:90%; height:auto;\" > and (20-10)/(5-3)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2820-10%29%2F%285-3%29=10%2F2=5 ALIGN=MIDDLE  ALT=\"%2820-10%29%2F%285-3%29=10%2F2=5\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );