Answer :
Simplifying
[tex]\frac{2x^8\times2x^6}{6x^9}[/tex]Multiplying and applying the law of exponents
[tex]\frac{(2\cdot2)x^{8+6}}{6x^9}=\frac{4x^{14}}{6x^9}[/tex]Then
[tex]\begin{gathered} \frac{4}{6\text{ }}=\frac{2}{3} \\ \text{and} \\ \frac{x^{14}}{x^9}=x^{14-9}=x^5 \end{gathered}[/tex]Therefore:
[tex]\frac{2}{3}x^5[/tex]Answer:
[tex]\frac{2x^5}{3}[/tex]