Simplify
$$\dfrac{7x^{2014}}{4x^{2013}}\cdot{\dfrac{2x^{2012}}{28x^{2011}}}\cdot\dfrac{9x^{2007}}{x^{2008}}\cdot\dfrac{8x^{2009}}{6x^{2010}}.$$
Assume that $x \neq 0.$
7x2014 / 4x2013 = 7x/4
2x2012 / 28x2011 = x/14
9x2007 / x2008 = 9/x
8x2009 / 6x2010 = 4/3x
= (252x2) / (168x2)
= 252 / 168
= 3/2, which is your answer :)