document.write( "Question 243853: cube root of 27w to the 12th power over 100\r
\n" ); document.write( "\n" ); document.write( "\"cube%28+27w%5E12%2F100+%29+\"\r
\n" ); document.write( "\n" ); document.write( "Explanation:\r
\n" ); document.write( "\n" ); 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
\n" ); document.write( "\n" ); document.write( "The heart of the question is my student's answer vs. my answer. Which one is more correct?\r
\n" ); document.write( "\n" ); document.write( "Student:\r
\n" ); document.write( "\n" ); document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 25) )
\n" ); document.write( " 3w4/(5 x 5 x 5) + cube( 25 )
\n" ); document.write( " 3w4/5 + cube ( 25 ) <<< student's answer\r
\n" ); document.write( "\n" ); document.write( "Tutor:\r
\n" ); document.write( "\n" ); document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 17 + 8) )
\n" ); document.write( " 3w4/(5 x 5 x 5) + cube( 17 ) + (2 x 2 x 2)
\n" ); document.write( " 3w4/5 + cube ( 17 ) + 2
\n" ); document.write( " 3w4/7 + cube (17) <<< tutor's answer\r
\n" ); document.write( "\n" ); document.write( "Which answer will the teacher of my student consider as \"correct\" ?\r
\n" ); document.write( "\n" ); document.write( " 3w4/5 + cube ( 25 ) OR 3w4/7 + cube (17)\r
\n" ); document.write( "\n" ); document.write( "Thank you. Rob Miller
\n" ); document.write( "

Algebra.Com's Answer #852422 by MathTherapy(10559)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "cube root of 27w to the 12th power over 100\r\n" );
document.write( "\r\n" );
document.write( "\"cube%28+27w%5E12%2F100+%29+\"\r\n" );
document.write( "\r\n" );
document.write( "Explanation:\r\n" );
document.write( "\r\n" );
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\r\n" );
document.write( "justifying her answer or my answer as \"more correct\".  Here's the problem:  Show your work in solving this cube root problem.\r\n" );
document.write( "\r\n" );
document.write( "The heart of the question is my student's answer vs. my answer.  Which one is more correct?\r\n" );
document.write( "\r\n" );
document.write( "Student:\r\n" );
document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 25) )\r\n" );
document.write( " 3w4/(5 x 5 x 5) + cube( 25 )\r\n" );
document.write( " 3w4/5 + cube ( 25 ) <<< student's answer\r\n" );
document.write( "\r\n" );
document.write( "Tutor:\r\n" );
document.write( "cube( (3 x 3 x 3) w^(4 x 3)/(75 + 17 + 8) )\r\n" );
document.write( " 3w4/(5 x 5 x 5) + cube( 17 ) + (2 x 2 x 2)\r\n" );
document.write( " 3w4/5 + cube ( 17 ) + 2\r\n" );
document.write( " 3w4/7 + cube (17) <<< tutor's answer\r\n" );
document.write( "\r\n" );
document.write( "Which answer will the teacher of my student consider as \"correct\" ?\r\n" );
document.write( "\r\n" );
document.write( " 3w4/5 + cube ( 25 ) OR 3w4/7 + cube (17)\r\n" );
document.write( "\r\n" );
document.write( "Thank you.  Rob Miller\r\n" );
document.write( "\r\n" );
document.write( "Neither, I'm afraid to say!! One error I noticed: \"5x5x5+%3C%3E+75\".\r\n" );
document.write( "Plus, the denominator cannot be split the way you two did!\r\n" );
document.write( "\r\n" );
document.write( "\"root+%283%2C+%2827w%5E12%29%2F100%29\" \r\n" );
document.write( "\"root+%283%2C+%2810%2F10%29%28%2827w%5E12%29%2F%28100%29%29%29\" ----- Multiplying RADICAND by 1: \"10%2F10\"\r\n" );
document.write( "\"root+%283%2C+10%283w%5E4%29%5E3%2F10%5E3%29\" = \"%283w%5E4%2F10%29root+%283%2C+10%2F1%29\" = \"highlight%28%283w%5E4%2F10%29%28root+%283%2C+10%29%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "OR\r\n" );
document.write( "\r\n" );
document.write( "\"root+%283%2C+%2827w%5E12%29%2F100%29\" = \"root+%283%2C+%283w%5E4%29%5E3%2F100%29\" = \"%283w%5E4%29%2Aroot%283%2C+%281%2F100%29%29\" = \"highlight%28%283w%5E4%29%2Aroot%283%2C+10%5E%28-+2%29%29%29%29\", or \"highlight%28%283w%5E4%29%2Amatrix%282%2C1%2C+%22+%22%2C+%2810%5E%28-+2%2F3%29%29%29%29%29\"
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