document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=299257>Question 299257</A>: <I><SPAN STYLE=\"word-break: break-all;\"> This has to do with rational exponents and I need to simplify it, I will show you what I did, but I am not confident that I did it right. Can someone please check and show me?<BR>\n" );
document.write( "(32^1/5 x^2/3)^3 to be sure I typed that right. It is in a bracket and it is 32 to the power of 1/5 and x to the power of 2/3 and another bracket and then those both to the power of 3.<BR>\n" );
document.write( "I broke the 32 ^ 1/5 down to (2)^5 multiplied it by the ^3 outside the whole bracket and I get (2)^15/5 and reduce the 15/5 to 3. Making it (2)^3.<BR>\n" );
document.write( "Then for the (x)^2/3 and multiplied it by the ^3 outside the bracket also and get (x)^2. So (2)^3 =8 and that goes with x^2. The answer is 8x^2. I hope. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #215109 by </B><A HREF=/tutors/aboutme.mpl?userid=Earlsdon><B>Earlsdon(6294)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Earlsdon><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=215109\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simplify:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2832%5E%281%2F5%29%2Ax%5E%282%2F3%29%29%5E3 ALIGN=MIDDLE  ALT=\"%2832%5E%281%2F5%29%2Ax%5E%282%2F3%29%29%5E3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the interior exponents by the exterior exponent.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32%5E%283%2F5%29%2Ax%5E2%29 ALIGN=MIDDLE  ALT=\"32%5E%283%2F5%29%2Ax%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > The first exponent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=32+=+2%5E5 ALIGN=MIDDLE  ALT=\"32+=+2%5E5\"   DISABLED_style= \"max-width:90%; height:auto;\" > and simplify.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3%2Ax%5E2 ALIGN=MIDDLE  ALT=\"2%5E3%2Ax%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Substitute <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%5E3+=+8 ALIGN=MIDDLE  ALT=\"2%5E3+=+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%288x%5E2%29 ALIGN=MIDDLE  ALT=\"highlight%288x%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You gotit! </SPAN>\n" );
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