document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122673>Question 1122673</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the expression in rational exponent form?<BR>\n" );
document.write( "3sqrt5xy^2\r<BR>\n" );
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document.write( "1.)5xy2/3<BR>\n" );
document.write( "2.)(5xy^2)1/3<BR>\n" );
document.write( "3.)(5xy)2/3<BR>\n" );
document.write( "4.)(5xy^2)2/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #738828 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=738828\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "Because all of the answers have a 3 in the denominator of the rational exponent, I'm going to assume that 3sqrt5xy^2 means <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{5xy^2}\">.  That is NOT the meaning of what you wrote.  What you wrote means <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 3\sqrt{5xy^2}\">, something entirely different.\r<BR>\n" );
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document.write( "There are two ways to do this so that you will avoid confusion in the future:\r<BR>\n" );
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document.write( "cbrt(expression) means <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{\text{expression}}\">\r<BR>\n" );
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document.write( "sqrt[3](expression) means the same thing.  In fact, this method can be used to indicate any index by putting the appropriate number in the square brackets.\r<BR>\n" );
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document.write( "Parentheses around EVERYTHING under the radical is essential.  What you wrote could have meant:  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{5xy^2}\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{5xy}^2\"> or <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{5x}y^2\"> or even <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sqrt[3]{5}xy^2\">\r<BR>\n" );
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document.write( "As it stands, I'm not certain to which factors the 2 exponent applies.  I'm going to assume that you mean:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \ \sqrt[3]{5xy^2}\">\r<BR>\n" );
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document.write( "Hence:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \(5xy^2\)^{\small{\frac{1}{3}}\">\r<BR>\n" );
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document.write( "								<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi}\ +\ 1\ =\ 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \ \\r\"> </SPAN>\n" );
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