document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=243853>Question 243853</A>: <I><SPAN STYLE=\"word-break: break-all;\"> cube root of 27w to the 12th power over 100\r<BR>\n" );
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document.write( "Explanation:\r<BR>\n" );
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document.write( "I am a volunteer math tutor.  My student disagrees with the answer I came up with, so I am writing to you for any help in justifying her answer or my answer as \"more correct\".  Here's the problem:  Show your work in solving this cube root problem.\r<BR>\n" );
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document.write( "The heart of the question is my student's answer vs. my answer.  Which one is more correct?\r<BR>\n" );
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document.write( "Student:\r<BR>\n" );
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document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 25) )<BR>\n" );
document.write( " 3w4/(5 x 5 x 5) + cube( 25 )<BR>\n" );
document.write( " 3w4/5 + cube ( 25 ) <<< student's answer\r<BR>\n" );
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document.write( "Tutor:\r<BR>\n" );
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document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 17 + 8) )<BR>\n" );
document.write( " 3w4/(5 x 5 x 5) + cube( 17 ) + (2 x 2 x 2)<BR>\n" );
document.write( " 3w4/5 + cube ( 17 ) + 2<BR>\n" );
document.write( " 3w4/7 + cube (17) <<< tutor's answer\r<BR>\n" );
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document.write( "Which answer will the teacher of my student consider as \"correct\" ?\r<BR>\n" );
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document.write( " 3w4/5 + cube ( 25 ) OR 3w4/7 + cube (17)\r<BR>\n" );
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document.write( "Thank you.  Rob Miller </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #178587 by </B><A HREF=/tutors/aboutme.mpl?userid=scott8148><B>scott8148(6628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=scott8148><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=scott8148><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=178587\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> breaking the denominator into sums is NOT a good technique for simplifying this\r<BR>\n" );
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document.write( "my two cents:\r<BR>\n" );
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document.write( "multiplying the fraction by 10/10 ___ cbrt[(10 * 27w^12) / 1000]\r<BR>\n" );
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document.write( "extracting WHOLE roots ___ (3w^4 / 10)cbrt(10)\r<BR>\n" );
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document.write( "this leaves no roots in the denominator </SPAN>\n" );
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