A) 3
B) 4
C) 8
D) 2
Correct Answer: D
Solution :
We have, \[{{\left( \frac{5}{11} \right)}^{-3}}\times {{\left( \frac{5}{11} \right)}^{5}}={{\left( \frac{5}{11} \right)}^{x}}\] \[\Rightarrow {{\left( \frac{5}{11} \right)}^{-3+5}}={{\left( \frac{5}{11} \right)}^{x}}\Rightarrow {{\left( \frac{5}{11} \right)}^{2}}={{\left( \frac{5}{11} \right)}^{x}}\] \[\therefore x=2\]
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