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16-\frac{5}{\left(\frac{1}{4}\right)^{-1}}+\sqrt[4]{27-\frac{1}{2}\times 6}
Calculate \frac{1}{2} to the power of -4 and get 16.
16-\frac{5}{4}+\sqrt[4]{27-\frac{1}{2}\times 6}
Calculate \frac{1}{4} to the power of -1 and get 4.
\frac{59}{4}+\sqrt[4]{27-\frac{1}{2}\times 6}
Subtract \frac{5}{4} from 16 to get \frac{59}{4}.
\frac{59}{4}+\sqrt[4]{27-3}
Multiply \frac{1}{2} and 6 to get 3.
\frac{59}{4}+\sqrt[4]{24}
Subtract 3 from 27 to get 24.