Help Please

Question

0

459

1

+501

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 $x \neq 0.$

ellapow Feb 17, 2021

Logarhythm · Answer 1 · 2021-02-17T02:51:56

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 :)