Power of Fractions

( 1 - $\frac{1}{2}$ ) ( 1 - $\frac{2}{3}$ )( 1 - $\frac{3}{4}$ )( 1 - $\frac{4}{5}$ ).........................( 1 - $\frac{2009}{2010}$ ) ( 1 - $\frac{2010}{2011}$ )( 1 - $\frac{2011}{2012}$ )( 1 - $\frac{2012}{2013}$ )

= $\boxed{1}$ / 2 * 2 / 3 * 3 / 4 * 4 / 5 ............................ 2009 / 2010 * 2010 / 2011 * 2011 / 2012 * 2012 / $\boxed{2013}$

Now you may see that except 1 and 2013 all cancel each other.

So, our answer is 1 / 2013