We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
309
3
avatar

Simplify \(\dfrac{7x^{2014}}{4x^{2013}}\cdot{\dfrac{2x^{2012}}{28x^{2011}}}\cdot\dfrac{9x^{2007}}{x^{2008}}\cdot\dfrac{8x^{2009}}{6x^{2010}}.\)

 

Is it \(\frac{3}{2} x^4\)?

 Aug 10, 2018
 #1
avatar
+1

Just add all the powers of x on the top, and add all the powers of x on the bottom, you should get the number of 8042. Then subtract 8042 - 8042 =0. Then multiply the coefficients on the top: 7 x 2 x 9 x 8=1008. Then multiply the coefficients on the bottom: 4 x 28 x 6 =672. Then divide the top total by the bottom total and you have: 1008 / 672 = 3/2

 Aug 10, 2018
 #2
avatar+103049 
+1

7x^2014  * 2x^2012  *  9x^2007   *  8x^2009

___________________________________  =

4x^2013 * 28x^2011 * x^2008  * 6x^2010

 

7x  * 2x * 9  * 8

________________  =

4 * 28 * x * 6x

 

1008x^2

_______   =

672x^2

 

 

   3

____

   2

 

 

 

cool cool cool

 Aug 10, 2018
 #3
avatar
+1

Ok, oops, I did not notice it was 9x^2007/x^2008 and 8x^2009/6x2010 .... Another careless mistake...

And also, I did it in a different way. I sepreated the numbers and the x's. Then I simplify the fractions so I didn't have to divide. smiley

Thanks so much for checking my answer!

Guest Aug 11, 2018

7 Online Users

avatar