document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=492030>Question 492030</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need help with this problem<BR>\n" );
document.write( " <BR>\n" );
document.write( "7^2<BR>\n" );
document.write( "___<BR>\n" );
document.write( "8^8\r<BR>\n" );
document.write( "\n" );
document.write( "I come up with \r<BR>\n" );
document.write( "\n" );
document.write( "  1<BR>\n" );
document.write( "_____<BR>\n" );
document.write( "117649\r<BR>\n" );
document.write( "\n" );
document.write( "and my friend comes up with\r<BR>\n" );
document.write( "\n" );
document.write( " 1<BR>\n" );
document.write( "___<BR>\n" );
document.write( "7^6\r<BR>\n" );
document.write( "\n" );
document.write( "could you please help me solve this problem? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #334902 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=334902\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7^2 / 8^8 = 49 / 16777216 = .000002921\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i don't think there's an easy way to do it other than using your calculator to solve for it.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "if it was 7^2 / 7^8, then the base is the same and your friend's answer of 1 / 7^6 would be correct.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "unfortunately, the base in the denominator is 8, not 7.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "that does not allow the simplification that he performed.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you could make the bases equivalent but that's a lot of work for not very much to be gained.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "for example:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7^2 is equivalent to 8^(1.871569948)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "your equation then becomes:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "8^(1.871569948) / 8^8 which can now be simplified to:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "1 / 8^6128430052 which becomes equal to .000002921.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "you get the same answer with a lot of extra work involved and you had to use your calculator anyway.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "so, you're both wrong for different reasons.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "the properties of exponent arithmetic are:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ex+%2A+a%5Ey+=+a%5E%28x+%2B+y%29 ALIGN=MIDDLE  ALT=\"a%5Ex+%2A+a%5Ey+=+a%5E%28x+%2B+y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a is the base<BR>\n" );
document.write( "x and y are exponents.<BR>\n" );
document.write( "the base must be the same for this property to work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5Ex+%2F+a%5Ey+=+a%5E%28x-y%29 ALIGN=MIDDLE  ALT=\"a%5Ex+%2F+a%5Ey+=+a%5E%28x-y%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a is the base.<BR>\n" );
document.write( "x and y are exponents.<BR>\n" );
document.write( "the base must be the same for this property to work.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%28-x%29+=+1%2F%28a%5Ex%29 ALIGN=MIDDLE  ALT=\"a%5E%28-x%29+=+1%2F%28a%5Ex%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a is the base.<BR>\n" );
document.write( "x is the exponent.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E%281%2Fx%29+=+root%28x%2Ca%29 ALIGN=MIDDLE  ALT=\"a%5E%281%2Fx%29+=+root%28x%2Ca%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "a is the base.<BR>\n" );
document.write( "x is the exponent.<BR>\n" );
document.write( "in case you can't see it, the exponent is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fx ALIGN=MIDDLE  ALT=\"1%2Fx\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "here's a link to some of the properties of exponents.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<a  rel=nofollow HREF= \"http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra2_6-1.xml\" target = \"_blank\">http://www.algebralab.org/studyaids/studyaid.aspx?file=Algebra2_6-1.xml</a> </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );