A) \[\frac{1}{{{b}^{2}}}\]
B) \[\frac{{{a}^{3}}}{{{b}^{11}}}\]
C) \[\frac{a}{b}\]
D) \[\frac{{{a}^{2}}}{{{b}^{3}}}\]
Correct Answer: B
Solution :
(b) \[{{\left( \frac{{{a}^{-2}}}{{{b}^{-2}}} \right)}^{-3}}\times \left( \frac{{{a}^{-3}}}{{{b}^{5}}} \right)\] \[=\frac{{{a}^{+6}}}{{{b}^{+6}}}\times \frac{{{a}^{-3}}}{{{b}^{5}}}\] \[=\frac{{{a}^{3}}}{{{b}^{11}}}\].
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