document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=228608>Question 228608</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Write an algebraic expression for each phrase using rational exponents to denote all nth roots.\r<BR>\n" );
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document.write( "a. the fifth root of x<BR>\n" );
document.write( "b. the cube root of the quantity 2 plus z<BR>\n" );
document.write( "c. two plus the cube root of z </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #169677 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=169677\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a. \"the fifth root of x\" translates to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%285%2Cx%29 ALIGN=MIDDLE  ALT=\"root%285%2Cx%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E%281%2F5%29%5E%22%22 ALIGN=MIDDLE  ALT=\"x%5E%281%2F5%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "b. \"the cube root of the quantity 2 plus z\" algebraically means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%283%2C2%2Bz%29 ALIGN=MIDDLE  ALT=\"root%283%2C2%2Bz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which in rational exponent form is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2Bz%29%5E%281%2F3%29%5E%22%22 ALIGN=MIDDLE  ALT=\"%282%2Bz%29%5E%281%2F3%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "c. \"two plus the cube root of z\" is written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Broot%283%2Cz%29 ALIGN=MIDDLE  ALT=\"2%2Broot%283%2Cz%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which converts to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Bz%5E%281%2F3%29%5E%22%22 ALIGN=MIDDLE  ALT=\"2%2Bz%5E%281%2F3%29%5E%22%22\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: the exponent is only over 'z') </SPAN>\n" );
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