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

 

Is it \(\frac{3}{2} x^4\)?

Guest Aug 10, 2018
 #1
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+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

Guest Aug 10, 2018
 #2
avatar+92533 
+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

CPhill  Aug 10, 2018
 #3
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+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

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