Simplify : 3 - 2197 \,× 3 - 125 \,\,÷ 3 27512 = ?

Answer: Option B

$$\text{root}3\text{of}-2197\times \text{root}3\text{of}-125÷\text{root}3\text{of}\frac{27}{512}$$
  $$=\text{root}3\text{of}13\times 13\times 13\times -1\times$$     $$\sqrt{5\times 5\times 5\times -1}÷$$     $$\text{root}3\text{of}\frac{27}{512}$$
$$\begin{array}{rl}& =\left(13\times 5\text{root}3\text{of}-1\times -1\right)÷\frac{3}{8}\\ & =13\times 5\times \frac{8}{3}\\ & =\frac{520}{3}\end{array}$$