A) \[\frac{3375}{512}\]
B) \[\frac{512}{3375}\]
C) \[\frac{512}{225}\]
D) \[\frac{64}{225}\]
Correct Answer: B
Solution :
\[{{\left( \frac{1}{p}+\frac{1}{q} \right)}^{p}}={{\left( \frac{1}{3}+\frac{1}{5} \right)}^{3}}={{\left( \frac{5+3}{15} \right)}^{3}}\] \[={{\left( \frac{8}{15} \right)}^{3}}=\frac{512}{3375}\]
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