document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=818929>Question 818929</A>: <I><SPAN STYLE=\"word-break: break-all;\"> would you mind checking my work please?\r<BR>\n" );
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document.write( "324^1/4 over 4^-1/4<BR>\n" );
document.write( "you would bring 4^-1/4 up to the numerator because you cannot have a negative exponent<BR>\n" );
document.write( "so you get <BR>\n" );
document.write( "324^1/4 times 4^1/4<BR>\n" );
document.write( "and you simplify<BR>\n" );
document.write( "to get 48 times the cubed root of 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #492869 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=492869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%5E%221%2F4%22%2F4%5E%22-1%2F4%22=324%5E%281%2F4%29%2A4%5E%281%2F4%29=%28324%2A4%29%5E%281%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Now, I could write it as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C324%2A4%29 ALIGN=MIDDLE  ALT=\"root%284%2C324%2A4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but I prefer to write it with the fractional exponent.<BR>\n" );
document.write( "At this point, I start factoring.<BR>\n" );
document.write( "I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4=2%5E2 ALIGN=MIDDLE  ALT=\"4=2%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "but I have to work a bit to factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324 ALIGN=MIDDLE  ALT=\"324\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "So I try dividing it by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2 ALIGN=MIDDLE  ALT=\"2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and see that<BR>\n" );
document.write( "324 ÷ 2 = 162 and 162 ÷ 2 = 81,<BR>\n" );
document.write( "so <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324=2%2A2%2A81=2%5E2%2A81 ALIGN=MIDDLE  ALT=\"324=2%2A2%2A81=2%5E2%2A81\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "and since I know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=81=9%5E2=3%5E4 ALIGN=MIDDLE  ALT=\"81=9%5E2=3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ,<BR>\n" );
document.write( "I can write the prime factorization as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324=2%5E2%2A3%5E4 ALIGN=MIDDLE  ALT=\"324=2%5E2%2A3%5E4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%5E%221%2F4%22%2F4%5E%22-1%2F4%22=324%5E%281%2F4%29%2A4%5E%281%2F4%29=%28324%2A4%29%5E%281%2F4%29=%282%5E2%2A3%5E4%2A2%5E2%29%5E%281%2F4%29=%282%5E4%2A3%5E4%29%5E%281%2F4%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%282%2A3%29%5E4%29%5E%221%2F4%22=6%5E%284%2A%221%2F4%22%29=6%5E1=highlight%286%29 ALIGN=MIDDLE  ALT=\"%28%282%2A3%29%5E4%29%5E%221%2F4%22=6%5E%284%2A%221%2F4%22%29=6%5E1=highlight%286%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "You may prefer to write it as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%5E%221%2F4%22%2F4%5E%22-1%2F4%22=324%5E%281%2F4%29%2A4%5E%281%2F4%29=%28324%2A4%29%5E%281%2F4%29=root%284%2C1296%29=highlight%286%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > for short.<BR>\n" );
document.write( "(I just wrote it as I thought about it, and as I calculated it with pencil and paper. With a calculator, I can calculate <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=324%2A4=1296 ALIGN=MIDDLE  ALT=\"324%2A4=1296\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=root%284%2C1296%29=sqrt%28sqrt%281296%29%29=6 ALIGN=MIDDLE  ALT=\"root%284%2C1296%29=sqrt%28sqrt%281296%29%29=6\"   DISABLED_style= \"max-width:90%; height:auto;\" > , but I prefer to factor and use paper, because that way there is no chance of pressing the wrong key). </SPAN>\n" );
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