A) \[\frac{3}{5}\]
B) \[{{1}^{1}}\]
C) \[{{\left( \frac{3}{5} \right)}^{-60}}\]
D) \[{{\left( \frac{5}{3} \right)}^{-60}}\]
Correct Answer: B
Solution :
(b) \[{{\left( \frac{3}{5} \right)}^{-30}}\times {{\left( \frac{5}{3} \right)}^{-30}}={{\left( \frac{5}{3} \right)}^{30}}\times {{\left( \frac{5}{3} \right)}^{-30}}\] \[={{\left( \frac{5}{3} \right)}^{30-30}}={{\left( \frac{5}{3} \right)}^{0}}=1={{1}^{1}}\]
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