document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=152418>Question 152418</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0618250182/algebrahomeworkh>algebra1</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Without grouping symbols, the expression<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x3%5E3%2B4 ALIGN=MIDDLE  ALT=\"2x3%5E3%2B4\"   DISABLED_style= \"max-width:90%; height:auto;\" >has a value of 58. Insert grouping symbols in the expression 2x3^3+4 to produce the indicated values,<BR>\n" );
document.write( "a.62 b.220 c.4374 d.279,936 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #112025 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=112025\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with:<BR>\n" );
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document.write( "2*3^3+7<BR>\n" );
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document.write( "Given example grouping:<BR>\n" );
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document.write( "2*(3^3)+ 4 = 2*(27) + 4 = 54 + 4 = 58 which is the example the problem gave without grouping<BR>\n" );
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document.write( "Next grouping:<BR>\n" );
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document.write( "2(3^3 + 4) = 2(27 + 4) = 2(31) = 62 <=== answer to part a<BR>\n" );
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document.write( "Next grouping:<BR>\n" );
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document.write( "(2*3)^3 + 4 = 6^3 + 4 = 216 + 4 = 220 <=== answer for part b<BR>\n" );
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document.write( "Next grouping:<BR>\n" );
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document.write( "2*(3^(3+4)) = 2*(3^7) = 2*2187 = 4374 <=== answer for part c<BR>\n" );
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document.write( "Final grouping:<BR>\n" );
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document.write( "(2*3)^(3+4) = (6)^(3+4) = 6^7 = 279,936  <=== answer for part d<BR>\n" );
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document.write( "Hope this helps you to understand the concept of grouping.  The rules of grouping basically<BR>\n" );
document.write( "involve:<BR>\n" );
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document.write( "I. First due the operations inside parentheses. Inside each set of parentheses follow rules<BR>\n" );
document.write( "II, III, and IV below.<BR>\n" );
document.write( "II. Second do the exponents<BR>\n" );
document.write( "III. Then do the multiplications and divisions from left to right as you encounter them.<BR>\n" );
document.write( "IV. Finally do the additions and subtractions in order from left to right as you encounter them.<BR>\n" );
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document.write( "It just takes some practice to get the hang of it.<BR>\n" );
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