Question:
Simplify $\left[\left\{(256)^{-\frac{1}{2}}\right\}^{\frac{1}{4}}\right]^{2}$
Solution:
$\left[\left\{(256)^{-\frac{1}{2}}\right\}^{\frac{1}{4}}\right]^{2}$
$=\left\{(256)^{-\frac{1}{2}}\right\}^{\frac{1}{2}}$
$=(256)^{-\frac{1}{4}}$
$=\left(4^{4}\right)^{-\frac{1}{4}}$
$=4^{-1}$
$=\frac{1}{4}$
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