256^{-4^{-3/2} }

asked by guest
on Jan 25, 2025 at 12:15 am



You asked:

Evaluate the expression: \({256}^{-{4}^{\frac{-3}{2}}}\)

MathBot Answer:

\[{256}^{-{4}^{\frac{-3}{2}}} = \frac{1}{2} = 0.5\]

\[\begin{aligned}{256}^{-{4}^{\frac{-3}{2}}}& = 256^{- \frac{1}{4^{\frac{3}{2}}}}\\& = 256^{\frac{-1}{8}}\\& = \frac{1}{\sqrt[8]{256}}\\& = \frac{1}{2}\end{aligned}\]

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