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Q. \( (256)^{-(4^{-3/2})} \)
(a) 8 (b) \( \frac{1}{8} \) (c) 2 (d) \( \frac{1}{2} \)
✏️ Solution
\( 4^{-3/2} = \frac{1}{4^{3/2}} = \frac{1}{(2^2)^{3/2}} = \frac{1}{2^3} = \frac{1}{8} \)
\( (256)^{-(1/8)} = (2^8)^{-1/8} \)
\( = 2^{-1} = \frac{1}{2} \)
Correct Option: (d) \( \frac{1}{2} \)
\( \boxed{\frac{1}{2}} \)