document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1194326>Question 1194326</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm on radical Quotient property. I'm trying to understand where my tutorial is getting x over y = xy^-1\r<BR>\n" );
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document.write( "kind of like\r<BR>\n" );
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document.write( "cubic root of x^2 * y 	over<BR>\n" );
document.write( "cubic root of 8*x*y^2	\r<BR>\n" );
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document.write( "which is rewritten as the cubic root of the entire fraction by applying  <BR>\n" );
document.write( "Quotient property\r<BR>\n" );
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document.write( "similar to\r<BR>\n" );
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document.write( "Cubic root of<BR>\n" );
document.write( "x^2*y over<BR>\n" );
document.write( "8*x*y^2\r<BR>\n" );
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document.write( "1 of the x's and 1 of the y's cancel each other out because exponent's Quotient property\r<BR>\n" );
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document.write( "so now we have\r<BR>\n" );
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document.write( "Cubic root of<BR>\n" );
document.write( "x over<BR>\n" );
document.write( "8y\r<BR>\n" );
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document.write( "now we apply Product Property and get\r<BR>\n" );
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document.write( "cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\r<BR>\n" );
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document.write( "I understand 1*x=x and 8*y=8y but here is where my tutorial loses me. They have\r<BR>\n" );
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document.write( "cubic root of 1 over cubic root of 8 * cubic root of xy^-1\r<BR>\n" );
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document.write( "the explanation is \"Quotient property and x over y = xy^-1\"<BR>\n" );
document.write( "this makes no sense to me. Is this just a fact?\r<BR>\n" );
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document.write( "they then rewrite\r<BR>\n" );
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document.write( "cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\r<BR>\n" );
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document.write( "again saying \"Quotient property and x over y = xy^-1\"\r<BR>\n" );
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document.write( "finally \r<BR>\n" );
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document.write( "1 over 2 cubic root xy^-1         \"Our solution\" </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #826502 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39616)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=826502\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Maybe I not follow your description well but x/y means the same as x*y^(-1).  This is well defined notation and not a mystery.\r<BR>\n" );
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document.write( "\"cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\"<BR>\n" );
document.write( "That is ambiguous.\r<BR>\n" );
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document.write( "\"cubic root of x^2 * y over<BR>\n" );
document.write( "cubic root of 8*x*y^2\"\r<BR>\n" );
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document.write( "Again this is also ambiguous.\r<BR>\n" );
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document.write( "I saw and read your extra note.  Most of the square root description is still too ambiguous.  Show your starting expression clearly in correct notation to get the help you want.\r<BR>\n" );
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document.write( "As for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2Fy=x%2Ay%5E%28-1%29 ALIGN=MIDDLE  ALT=\"x%2Fy=x%2Ay%5E%28-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this is already clear.  Nothing to not understand.\r<BR>\n" );
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document.write( "Is this what your expression is as given?<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C%28%281%2F8%29%28x%2Fy%29%29%29 ALIGN=MIDDLE  ALT=\"root%283%2C%28%281%2F8%29%28x%2Fy%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "And if so, you wish to simplify this? </SPAN>\n" );
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