A) \[{{\left( \frac{2}{3} \right)}^{11}}\]
B) \[{{\left( \frac{2}{3} \right)}^{12}}\]
C) \[{{\left( \frac{2}{3} \right)}^{7}}\]
D) \[{{\left( \frac{2}{3} \right)}^{3}}\]
Correct Answer: B
Solution :
(b) \[x={{\left( \frac{3}{2} \right)}^{2}}\times {{\left( \frac{2}{3} \right)}^{-4}}\] \[={{\left( \frac{3}{2} \right)}^{2}}\times {{\left( \frac{2}{3} \right)}^{-4}}={{\left( \frac{3}{2} \right)}^{6}}\] \[\therefore {{x}^{-2}}={{\left( \frac{3}{2} \right)}^{-12}}={{\left( \frac{2}{3} \right)}^{12}}\].You need to login to perform this action.
You will be redirected in
3 sec