Simplify : 16 × 329 × 27 × 81 = ?

Answer: Option A

$$\begin{array}{rl}& \frac{16\times 32}{9\times 27\times 81}\\ & =\frac{2^4\times 2^5}{3^2\times 3^3\times 3^4}\\ & =\frac{2^{\left(4+5\right)}}{3^{\left(2+3+4\right)}}\\ & =\frac{2^9}{3^9}\\ & ={\left(\frac{2}{3}\right)}^9\end{array}$$