A) \[{{\left( \frac{2}{3} \right)}^{12}}\]
B) \[{{\left( \frac{3}{2} \right)}^{12}}\]
C) \[{{\left( \frac{6}{5} \right)}^{-12}}\]
D) \[{{\left( \frac{5}{6} \right)}^{-12}}\]
Correct Answer: A
Solution :
Ans. \[x={{\left( \frac{3}{2} \right)}^{2}}{{\left( \frac{2}{3} \right)}^{-4}}={{\left( \frac{3}{2} \right)}^{2}}{{\left( \frac{3}{2} \right)}^{4}}={{\left( \frac{3}{2} \right)}^{6}}\] \[\Rightarrow \] \[{{x}^{2}}={{\left( \frac{3}{2} \right)}^{12}}\Rightarrow {{x}^{-2}}={{\left( \frac{3}{2} \right)}^{-12}}={{\left( \frac{2}{3} \right)}^{12}}\]
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