[tex]\displaystyle\bf\\\Big(16^{8} \Big)^{-\frac{1}{4} } \cdot a=16^{8\cdot(-\frac{1}{4} )} \cdot a=16^{-2} \cdot a=\frac{1}{16^{2} } \cdot a=\frac{a}{256}[/tex]
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[tex]\displaystyle\bf\\\Big(16^{8} \Big)^{-\frac{1}{4} } \cdot a=16^{8\cdot(-\frac{1}{4} )} \cdot a=16^{-2} \cdot a=\frac{1}{16^{2} } \cdot a=\frac{a}{256}[/tex]