document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470180>Question 470180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify, using the order of operations. Simplify the answer to lowest terms. (5/6 times 12/25)squared divided by 2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #322557 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=322557\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you work from left to right.<BR>\n" );
document.write( "you resolve expressions within the most inner set of parentheses first.<BR>\n" );
document.write( "then the next inner, etc, until all parentheses have been resolved.<BR>\n" );
document.write( "you continue to work from left to right within each set of parentheses until all parentheses have been resolved.<BR>\n" );
document.write( "exponents and roots are done first.<BR>\n" );
document.write( "then multiplies and divides.<BR>\n" );
document.write( "then adds and subtracts.<BR>\n" );
document.write( "your expression is (5/6 * 12/15)^2 / (2/3)<BR>\n" );
document.write( "you multiply 5/6 * 12/25 first to get:<BR>\n" );
document.write( "(60/150)^2 / (2/3)<BR>\n" );
document.write( "you then square (60/90) to get:<BR>\n" );
document.write( "(3600/22500) / (2/3)<BR>\n" );
document.write( "you then divide (3600/22500) by (2/3) to get:<BR>\n" );
document.write( "(3600/22500) / (2/3) is equivalent to:<BR>\n" );
document.write( "(3600/22500) * (3/2) which resolves to:<BR>\n" );
document.write( "(3600*3) / (22500*2) which resolves to:<BR>\n" );
document.write( "1800 / 7500 which resolves to:<BR>\n" );
document.write( "18 / 75 which resolves to:<BR>\n" );
document.write( "6 / 25<BR>\n" );
document.write( "that's your answer.<BR>\n" );
document.write( "you can confirm by using your calculator to solve the original expression.<BR>\n" );
document.write( "you'll get a decimal answer which will be equal to 6 after you multiply it by 25.<BR>\n" );
document.write( "I got:<BR>\n" );
document.write( "(5/6 * 12/15)^2 / (2/3) becomes:<BR>\n" );
document.write( "(.4)^2 / (2/3) becomes:<BR>\n" );
document.write( ".16 / (2/3) becomes:<BR>\n" );
document.write( ".24 which becomes:<BR>\n" );
document.write( "6 after multiplying it by 25.<BR>\n" );
document.write( "This means that .24 is equivalent to 6/25 which is the answer we derived above.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );