document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930617>Question 930617</A>: <I><SPAN STYLE=\"word-break: break-all;\"> change to rational exponent form. Do not simplify.\r<BR>\n" );
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document.write( "&#8731;17^2  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565175 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565175\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a rational exponent is an exponent with a numerator and a denominator.<BR>\n" );
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document.write( "the numerator of the exponent tells you the power.\r<BR>\n" );
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document.write( "the denominator of the exponent tells you the root.\r<BR>\n" );
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document.write( "some examples will help you to understand.\r<BR>\n" );
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document.write( "5^2 = 5 squared = 5 to the power of 2 = 5*5 = 25.\r<BR>\n" );
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document.write( "5^3 = 5 cubed = 5 to the power of 3 = 5*5*5 = 125.\r<BR>\n" );
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document.write( "25^(1/2) = square root of (25) = 25 to the root of 2 = 5.\r<BR>\n" );
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document.write( "125^(1/3) = the cube root of 125 = 125 to the root of 3 = 5.\r<BR>\n" );
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document.write( "the root is the inverse of the power.\r<BR>\n" );
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document.write( "if 5^2 = 25, then 25^(1/2) = 5\r<BR>\n" );
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document.write( "if 5^3 = 125, then 125^(1/3) = 5\r<BR>\n" );
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document.write( "in your problem, this is what you can do.\r<BR>\n" );
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document.write( "cube root of (17^2) is equal to (17^2)^(1/3) = 17^(2 * 1/3) = 17^(2/3)\r<BR>\n" );
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document.write( "(cube root of 17)^2 is equal to (17^(1/3))^2 = 17^(1/3 * 2) = 17^(2/3)\r<BR>\n" );
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document.write( "the rules of exponent arithmetic are that:\r<BR>\n" );
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document.write( "(a^b)^c = a^(b*c)\r<BR>\n" );
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document.write( "that's the rule that was applied.\r<BR>\n" );
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