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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 $x \neq 0.$

 Feb 17, 2021
 #1
avatar+278 
+1

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 :)

 Feb 17, 2021

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