A) \[{{\left( \frac{2}{7} \right)}^{\frac{3}{4}}}\]
B) \[{{\left( \frac{2}{7} \right)}^{-1}}\]
C) \[\frac{4}{49}\]
D) \[\frac{49}{4}\]
Correct Answer: C
Solution :
\[{{\left( \frac{2}{7} \right)}^{\frac{1}{2}}}\times {{\left( \frac{2}{7} \right)}^{\frac{3}{2}}}={{\left( \frac{2}{7} \right)}^{\frac{4}{2}}}={{\left( \frac{2}{7} \right)}^{2}}=\frac{4}{49}\]
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