#### Answer

$\dfrac{8x}{2}\cdot\dfrac{x^{5}}{4x^{2}}=x^{4}$

#### Work Step by Step

$\dfrac{8x}{2}\cdot\dfrac{x^{5}}{4x^{2}}$
Multiply both rational expression and simplify by removing repeated factors in the numerator and the denominator:
$\dfrac{8x}{2}\cdot\dfrac{x^{5}}{4x^{2}}=\dfrac{(8x)(x^{5})}{(2)(4x^{2})}=\dfrac{8x^{6}}{8x^{2}}=x^{4}$