A) \[\frac{-1}{2}\]
B) \[-2\]
C) \[2\]
D) \[\frac{1}{2}\]
Correct Answer: B
Solution :
\[{{\left( \frac{5}{3} \right)}^{-5}}\times {{\left( \frac{5}{3} \right)}^{11}}={{\left( \frac{5}{3} \right)}^{8+x}}\] \[\Rightarrow \] \[{{\left( \frac{5}{3} \right)}^{-5+11}}={{\left( \frac{5}{3} \right)}^{8+x}}\Rightarrow {{\left( \frac{5}{3} \right)}^{6}}={{\left( \frac{5}{3} \right)}^{8+x}}\] On comparing, we get, \[8+x=6\Rightarrow x=-2\]
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