The value of $$\frac{{\root 3 \of { - 2744} \times \root 3 \of { - 216} }}{{\root 3 \of {\frac{{64}}{{729}}} }}$$    is :

A. 164

B. 152

C. 189

D. 156

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & \frac{{\root 3 \of { - 2744} \times \root 3 \of { - 216} }}{{\root 3 \of {\frac{{64}}{{729}}} }} \cr & = \frac{{\left( { - 14} \right) \times \left( { - 6} \right)}}{{\frac{4}{9}}} \cr & = \frac{{84}}{{\frac{4}{9}}} \cr & = 189 \cr} $$