document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=68259>Question 68259</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> PLease help to simplify\r<BR>\n" );
document.write( "\n" );
document.write( "m^x/3*n^3x\r<BR>\n" );
document.write( "\n" );
document.write( "Divided by\r<BR>\n" );
document.write( "\n" );
document.write( "m^2x*n^3x/4\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #48579 by </B><A HREF=/tutors/aboutme.mpl?userid=rmromero><B>rmromero(383)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rmromero><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=48579\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solution \r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 1: Following the Property of Exponents for division which states that, For all real numbers, a (refers to the base), a is not equal to 0 and for all positive integers x and y: <BR>\n" );
document.write( "If x > y then m^x divided by m^y = m^x-y\r<BR>\n" );
document.write( "\n" );
document.write( "If x < y then m^x divided by m^y = 1 / m^y-x\r<BR>\n" );
document.write( "\n" );
document.write( "Note: you can apply this property with the same base\r<BR>\n" );
document.write( "\n" );
document.write( "From the expression <BR>\n" );
document.write( "m^x/3*n^3x<BR>\n" );
document.write( "Divided by<BR>\n" );
document.write( "m^2x*n^3x/4\r<BR>\n" );
document.write( "\n" );
document.write( "the exponent 3x > 3x/4 so we are going to write <BR>\n" );
document.write( "n^3x-3x/4\r<BR>\n" );
document.write( "\n" );
document.write( "and since x/3 < 2x, we are going to write <BR>\n" );
document.write( "1 divided by m^2x-x/3\r<BR>\n" );
document.write( "\n" );
document.write( "therefore we have <BR>\n" );
document.write( "n^3x-3x/4<BR>\n" );
document.write( "divided by<BR>\n" );
document.write( "m^2x-x/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 2:Applying Subtraction of mixed expression, multiply 4 to the exponent 3x and 3x/4<BR>\n" );
document.write( "n^(12x-3x)/4\r<BR>\n" );
document.write( "\n" );
document.write( "multiply 3 to the exponent 2x and x/3 <BR>\n" );
document.write( "m^(6x-x)/3\r<BR>\n" );
document.write( "\n" );
document.write( "so we have <BR>\n" );
document.write( "n^(12x-3x)/4<BR>\n" );
document.write( "divided by <BR>\n" );
document.write( "m^(6x-x)/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 3: Combine like terms 12x - 3x = 8x and copy the denominator which is 4.<BR>\n" );
document.write( "n^8x/4\r<BR>\n" );
document.write( "\n" );
document.write( "Combine 6x - x = 5x and copy the denominator 3<BR>\n" );
document.write( "m^5x/3\r<BR>\n" );
document.write( "\n" );
document.write( "Then we will have <BR>\n" );
document.write( "n^8x/4<BR>\n" );
document.write( "divided by<BR>\n" );
document.write( "m^5x/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Step 4: Simplify the exponent of the numerator 8x/4 by dividing both by 2 getting a result 2x.Since the exponent of the denominator cannot be simplified, write it as it is 5x/3<BR>\n" );
document.write( "n^2x <BR>\n" );
document.write( "divided by<BR>\n" );
document.write( "m^5x/3<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );