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" );
document.write( "\n" );
document.write( "cubic root of 1 over cubic root of 8 * cubic root of xy^-1\r<BR>\n" );
document.write( "\n" );
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" );
document.write( "\n" );
document.write( "they then rewrite\r<BR>\n" );
document.write( "\n" );
document.write( "cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\r<BR>\n" );
document.write( "\n" );
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 #826574 by </B><A HREF=/tutors/aboutme.mpl?userid=MathTherapy><B>MathTherapy(10552)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathTherapy><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/cgi-bin/show-face.mpl?user=MathTherapy><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=826574\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> </pre><BR>\n" );
document.write( "I'm on radical Quotient property. I'm trying to understand where my tutorial is getting x over y = xy^-1\r<BR>\n" );
document.write( "\n" );
document.write( "kind of like\r<BR>\n" );
document.write( "\n" );
document.write( "cubic root of x^2 * y 	over<BR>\n" );
document.write( "cubic root of 8*x*y^2	\r<BR>\n" );
document.write( "\n" );
document.write( "which is rewritten as the cubic root of the entire fraction by applying  <BR>\n" );
document.write( "Quotient property\r<BR>\n" );
document.write( "\n" );
document.write( "similar to\r<BR>\n" );
document.write( "\n" );
document.write( "Cubic root of<BR>\n" );
document.write( "x^2*y over<BR>\n" );
document.write( "8*x*y^2\r<BR>\n" );
document.write( "\n" );
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" );
document.write( "\n" );
document.write( "so now we have\r<BR>\n" );
document.write( "\n" );
document.write( "Cubic root of<BR>\n" );
document.write( "x over<BR>\n" );
document.write( "8y\r<BR>\n" );
document.write( "\n" );
document.write( "now we apply Product Property and get\r<BR>\n" );
document.write( "\n" );
document.write( "cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\r<BR>\n" );
document.write( "\n" );
document.write( "I understand 1*x=x and 8*y=8y but here is where my tutorial loses me. They have\r<BR>\n" );
document.write( "\n" );
document.write( "cubic root of 1 over cubic root of 8 * cubic root of xy^-1\r<BR>\n" );
document.write( "\n" );
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" );
document.write( "\n" );
document.write( "they then rewrite\r<BR>\n" );
document.write( "\n" );
document.write( "cubic root of<BR>\n" );
document.write( "1 over 8 * x over y\r<BR>\n" );
document.write( "\n" );
document.write( "again saying \"Quotient property and x over y = xy^-1\"\r<BR>\n" );
document.write( "\n" );
document.write( "finally \r<BR>\n" );
document.write( "\n" );
document.write( "1 over 2 cubic root xy^-1         \"Our solution\"</pre><BR>\n" );
document.write( "<PRE STYLE=\"white-space: pre-wrap; white-space: -moz-pre-wrap; white-space: -pre-wrap; white-space: -o-pre-wrap; word-wrap: break-word;\">This is EXACTLY how itw's done:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28matrix%281%2C15%2C+root%283%2C+x%5E2y%29%2Froot+%283%2C+8xy%5E2%29%2C+%22=%22%2C+root%283%2C+x%5E2y%2F%288xy%5E2%29%29%2C+%22=%22%2C+root%283%2C+x%2Across%28x%5E2%29cross%28y%29%2F%288cross%28x%29y%2Across%28y%5E2%29%29%29%2C+%22=%22%2C+root%283%2C+x%2F%288y%29%29%2C+%22=%22%2C+root%283%2C+%281%2F8%29%28x%2Fy%29%29%2C+%22=%22%2C+root%283%2C+%281%5E3%2F2%5E3%29%28x%2Fy%29%29%2C+%22=%22%2C+%281%2F2%29root%283%2C+x%2Fy%29%2C+%22%2C++or%22%2C+highlight%28%281%2F2%29root%283%2C+xy%5E%28-+1%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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