document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=148091>Question 148091</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the directions are: Simplify. Assume that varibles represnt positive real numbers.\r<BR>\n" );
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document.write( "can you please help me with.  ^3 inside the square root symbol is (27y^3/z^4) \r<BR>\n" );
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document.write( "I blieve that the top number is 3y, but I don't know how you take the fourth power when the radital is rasied to a 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #108483 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=108483\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%2827y%5E3%29%29%2F%28sqrt%28z%5E4%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%2827y%5E3%29%29%2F%28sqrt%28z%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the root.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%5E2%2A3%2Ay%5E2%2Ay%29%29%2F%28sqrt%28z%5E4%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%5E2%2A3%2Ay%5E2%2Ay%29%29%2F%28sqrt%28z%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27y%5E3 ALIGN=MIDDLE  ALT=\"27y%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%5E2%2A3%2Ay%5E2%2Ay ALIGN=MIDDLE  ALT=\"3%5E2%2A3%2Ay%5E2%2Ay\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%5E2%2A3%2Ay%5E2%2Ay%29%29%2F%28sqrt%28z%5E2%2Az%5E2%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%283%5E2%2A3%2Ay%5E2%2Ay%29%29%2F%28sqrt%28z%5E2%2Az%5E2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E4 ALIGN=MIDDLE  ALT=\"z%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%5E2%2Az%5E2 ALIGN=MIDDLE  ALT=\"z%5E2%2Az%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%283%5E2%29%2Asqrt%283%29%2Asqrt%28y%5E2%29%2Asqrt%28y%29%29%2F%28sqrt%28z%5E2%29%2Asqrt%28z%5E2%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Break up the square roots.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Asqrt%283%29%2Ay%2Asqrt%28y%29%29%2F%28z%2Az%29 ALIGN=MIDDLE  ALT=\"%283%2Asqrt%283%29%2Ay%2Asqrt%28y%29%29%2F%28z%2Az%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%283%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get 3. Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28y%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28y%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=y ALIGN=MIDDLE  ALT=\"y\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Evaluate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28z%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z ALIGN=MIDDLE  ALT=\"z\"   DISABLED_style= \"max-width:90%; height:auto;\" >. So the square root of anything squared is itself (assuming the variable is positive)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2Asqrt%283y%29%29%2F%28z%5E2%29 ALIGN=MIDDLE  ALT=\"%283y%2Asqrt%283y%29%29%2F%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply and combine the roots.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283y%2Asqrt%283y%29%29%2F%28z%5E2%29 ALIGN=MIDDLE  ALT=\"%283y%2Asqrt%283y%29%29%2F%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29=%283y%2Asqrt%283y%29%29%2F%28z%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%2827y%5E3%29%2F%28z%5E4%29%29=%283y%2Asqrt%283y%29%29%2F%28z%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > where every variable is positive and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=z%3C%3E0 ALIGN=MIDDLE  ALT=\"z%3C%3E0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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