document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=185651>Question 185651</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Assume that all variables are positive and multiply:\r<BR>\n" );
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document.write( "y^3/7(y^-3/7+7y^4/7)\r<BR>\n" );
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document.write( "a) 1+7y<BR>\n" );
document.write( "b)y+7<BR>\n" );
document.write( "c) y^-1+7y </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #139242 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=139242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{3}{7}}\left(y^{-\frac{3}{7}}+7y^{\frac{4}{7}}\right)\"> ... Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{3}{7}}\left(y^{-\frac{3}{7}}\right)+y^{\frac{3}{7}}\left(7y^{\frac{4}{7}}\right)\"> ... Distribute\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{3}{7}+(-\frac{3}{7})}+7y^{\frac{3}{7}+\frac{4}{7}}\"> ... Multiply by adding the exponents.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{3-3}{7}}+7y^{\frac{3+4}{7}}\"> ... Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{0}{7}}+7y^{\frac{7}{7}}\"> ... Combine like terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{0}+7y^{1}\"> ... Reduce\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 1+7y\"> ... Simplify\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y^{\frac{3}{7}}\left(y^{-\frac{3}{7}}+7y^{\frac{4}{7}}\right)=1+7y\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE y \neq 0\"> </SPAN>\n" );
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