The simplified value of following is: ( 315a^5b^6c^3 × 5/9ab^5c^4 ) ÷ 1027a^2bc^3

Answer: Option C

$$\begin{array}{rl}& \left(\frac{3}{15}{a}^5{b}^6{c}^3\times \frac{5}{9}a{b}^5{c}^4\right)÷\frac{10}{27}{a}^{2}b{c}^3\\ & \Rightarrow \frac{1}{9}{a}^6{b}^{11}{c}^7÷\frac{10}{27}{a}^{2}b{c}^3\\ & \Rightarrow \frac{\frac{1}{9}{a}^6{b}^{11}{c}^7}{\frac{10}{27}{a}^{2}b{c}^3}\\ & \Rightarrow \frac{3}{10}{a}^4{b}^{10}{c}^4\end{array}$$