document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1181186>Question 1181186</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I'm asked here to simplify. Please view document for equation.\r<BR>\n" );
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document.write( "https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #811055 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=811055\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the answer that i get is:\r<BR>\n" );
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document.write( "13.5 * x^(19/4) * y^(38/12)\r<BR>\n" );
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document.write( "this can be simplified to:\r<BR>\n" );
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document.write( "13.5 * x^(19/4) * y^(19/6)\r<BR>\n" );
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document.write( "see my worksheet for the steps that i took to get to the simplified anaswer.\r<BR>\n" );
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document.write( "i verified with random values of x and y that the original expression and the final expression give you the answer.\r<BR>\n" );
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document.write( "here's my worksheet.\r<BR>\n" );
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document.write( "step 1 translates the numerator to exponential form and simplifies it using the following conecpts.\r<BR>\n" );
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document.write( "square root of (x) = x^(1/2)<BR>\n" );
document.write( "(a * x^b * y^c) ^ d = a^d * (x^b)^d * (y^c)^d = a^d * x^(b*d) * y^(c*d)\r<BR>\n" );
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document.write( "step 2 translates the denominator to exponential form and simplifies it using the following concepts.\r<BR>\n" );
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document.write( "fourth root of (x) = x^(1/4)<BR>\n" );
document.write( "(a * x^b * y^c) ^ d = a^d * (x^b)^d * (y^c)^d = a^d * x^(b*d) * y^(c*d)\r<BR>\n" );
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document.write( "step 3 translates x^a / x^b to x^(a-b) and y^c / y^d to y(c-d)\r<BR>\n" );
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document.write( "the fractional exponents are then simnplified as much as possible.\r<BR>\n" );
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document.write( "the basic rules for exponent arithmetic are:\r<BR>\n" );
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document.write( "x^a * x^b = x^(a + b)\r<BR>\n" );
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document.write( "x^a / x^b = x^(a - b)\r<BR>\n" );
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document.write( "(x^a)^b = x^(a * b)\r<BR>\n" );
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document.write( "x^(-a) = 1/x^a)\r<BR>\n" );
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document.write( "(x^a / y^b) ^ c = (x^a)^c / (y^b)^c = x^(a*c) / y^(b*c)\r<BR>\n" );
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document.write( "(x^a * y^b) ^ c = (x^a)^c * (y^b)^c = x^(a*c) * y^(b*c)\r<BR>\n" );
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document.write( "here's a reference on exponent arithmetic.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathplanet.com/education/pre-algebra/discover-fractions-and-factors/powers-and-exponents\" target = \"_blank\">https://www.mathplanet.com/education/pre-algebra/discover-fractions-and-factors/powers-and-exponents</a>\r<BR>\n" );
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document.write( "here's another.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"https://www.mathplanet.com/education/pre-algebra/discover-fractions-and-factors/powers-and-exponents\" target = \"_blank\">https://www.mathplanet.com/education/pre-algebra/discover-fractions-and-factors/powers-and-exponents</a>\r<BR>\n" );
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document.write( "this reference has 5 pages associated with it for a complete tutorial.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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