document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67097>Question 67097</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0534494498/algebrahomeworkh>0-534-49449-8</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> How would I simplify this expression\r<BR>\n" );
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document.write( "(54b^4x^4/16bx^2)1/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47707 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=47707\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How would I simplify this expression\r<BR>\n" );
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document.write( "(54b^4x^4/16bx^2)1/3<BR>\n" );
document.write( "1st: Reduce the fraction within the parenthesis.<BR>\n" );
document.write( "=[(27/8)(b^3)(x^2)]^(1/3)<BR>\n" );
document.write( "Break the fraction into two factors.<BR>\n" );
document.write( "Let the 1st fraction contain all the \"perfect cube\" factors.<BR>\n" );
document.write( "Let the 2nd fraction contain the remaining factors.<BR>\n" );
document.write( "Proceed as follows:\r<BR>\n" );
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document.write( "=[(27/8)(b^3)]^(1/3) * [x^2] ^(1/3)<BR>\n" );
document.write( "Simplify the \"perfect cube\" factor to get:<BR>\n" );
document.write( "=(3/2)b * [x^(2/3)]<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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