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The value of $$\frac{{\root 3 \of { - 2744} \times \root 3 \of { - 216} }}{{\root 3 \of {\frac{{64}}{{729}}} }}$$ is :
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{{\root 3 \of { - 2744} \times \root 3 \of { - 216} }}{{\root 3 \of {\frac{{64}}{{729}}} }} \cr
& = \frac{{\left( { - 14} \right) \times \left( { - 6} \right)}}{{\frac{4}{9}}} \cr
& = \frac{{84}}{{\frac{4}{9}}} \cr
& = 189 \cr} $$
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