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16^{1-\frac{3}{2}}
The base 4 logarithm of 8 is \frac{3}{2}.
16^{-\frac{1}{2}}
Subtract \frac{3}{2} from 1 to get -\frac{1}{2}.
\frac{1}{4}
Calculate 16 to the power of -\frac{1}{2} and get \frac{1}{4}.