document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=685724>Question 685724</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please, need help to simplify problem below...\r<BR>\n" );
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document.write( "(500x^4y^8)^(1/3)\r<BR>\n" );
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document.write( "I would also appreciate if you could include a brief step-by-step explanation to help me better understand the process...\r<BR>\n" );
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document.write( "Thanks in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #424542 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=424542\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify problem below... <BR>\n" );
document.write( "(500x^4y^8)^(1/3) <BR>\n" );
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document.write( "Separate the problem into two pieces<BR>\n" );
document.write( "where one of the pieces is the product of cubes.<BR>\n" );
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document.write( "= [(125x^3y^6)(4xy^2)]^(1/3)<BR>\n" );
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document.write( "Rewrite as the product of 2 cube roots:<BR>\n" );
document.write( "= (125x^3y^6)^(1/3) * (4xy^2)^(1/3)<BR>\n" );
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document.write( "Take the cube root of the perfect cube factor <BR>\n" );
document.write( "to get the final answer:<BR>\n" );
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document.write( "= 5xy^2*(4xy^2)^(1/3)<BR>\n" );
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document.write( "cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=============== </SPAN>\n" );
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