document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=31240>Question 31240</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "I have another question from my practice math exam, please help!\r<BR>\n" );
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document.write( " (8)^2/3 (16)^1/4=\r<BR>\n" );
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document.write( "-Thanks<BR>\n" );
document.write( "Kristin </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #17905 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=17905\">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=+%288%29%5E2%2F3 ALIGN=MIDDLE  ALT=\"+%288%29%5E2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > means either <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%5E2%29%5E%281%2F3%29+ ALIGN=MIDDLE  ALT=\"+%288%5E2%29%5E%281%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%5E%281%2F3%29%29%5E2+ ALIGN=MIDDLE  ALT=\"+%288%5E%281%2F3%29%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. You can solve either. However, the first version has <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%5E2 ALIGN=MIDDLE  ALT=\"8%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is 64 then we need to find a cube root of that etc... Going the way of \"increasing the numbers\" is more difficult.\r<BR>\n" );
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document.write( "My approach would always be to do the fractional power first if possible, to keep the numbers smaller:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%5E%281%2F3%29%29%5E2+ ALIGN=MIDDLE  ALT=\"+%288%5E%281%2F3%29%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since 2*2*2 = 8<BR>\n" );
document.write( "--> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%5E2+ ALIGN=MIDDLE  ALT=\"+2%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "--> 4\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2816%29%5E1%2F4 ALIGN=MIDDLE  ALT=\"%2816%29%5E1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > means what number multplied to itself 4 times is 16? Answer is 2:<BR>\n" );
document.write( "2*2*2*2 = 16\r<BR>\n" );
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document.write( "You need to recognise the following, in relation to powers:\r<BR>\n" );
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document.write( "2: 2,4,8,16,32,64,128,256,512,1024<BR>\n" );
document.write( "3: 3,9,27,81<BR>\n" );
document.write( "4: 4,16,64<BR>\n" );
document.write( "5: 5,25,125,625<BR>\n" );
document.write( "6: 6,36,216<BR>\n" );
document.write( "7: 7,49,343<BR>\n" );
document.write( "8: 8,64,512<BR>\n" );
document.write( "9: 9,81,729\r<BR>\n" );
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document.write( "Recognise these numbers at least. Learn them if possible. That way you can answer the following type of Q really confidently:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+343%5E%282%2F3%29+ ALIGN=MIDDLE  ALT=\"+343%5E%282%2F3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > means <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28343%5E%281%2F3%29%29%5E2+ ALIGN=MIDDLE  ALT=\"+%28343%5E%281%2F3%29%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+7%5E2+ ALIGN=MIDDLE  ALT=\"+7%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > --> 49\r<BR>\n" );
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document.write( "jon.<BR>\n" );
document.write( " </SPAN>\n" );
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