A) 8
B) \[\frac{1}{8}\]
C) 2
D) \[\frac{1}{2}\]
Correct Answer: D
Solution :
\[{{(256)}^{-\left( {{4}^{\frac{-3}{2}}} \right)}}={{(256)}^{-\left( \frac{1}{{{4}^{3/2}}} \right)}}\] \[={{(256)}^{-}}^{\frac{1}{8}}=\frac{1}{{{(256)}^{\frac{1}{8}}}}=\frac{1}{{{({{2}^{8}})}^{\frac{1}{8}}}}=\frac{1}{2}\]You need to login to perform this action.
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