A) \[36\]
B) \[-36\]
C) \[\frac{1}{36}\]
D) \[\frac{-1}{36}\]
Correct Answer: A
Solution :
Clearly \[{{\left( \frac{-1}{216} \right)}^{\frac{-2}{3}}}={{\left[ {{\left( \frac{-1}{6} \right)}^{3}} \right]}^{\frac{-2}{3}}}\] \[={{\left( \frac{-1}{6} \right)}^{3\times \frac{-2}{3}}}={{\left( \frac{-1}{6} \right)}^{-2}}\] \[=\frac{1}{{{(-1/6)}^{2}}}=\frac{1}{(1/36)}=36\]You need to login to perform this action.
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