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\sqrt[4]{\frac{1}{64\times 8\times 8}}
Multiply 8 and 8 to get 64.
\sqrt[4]{\frac{1}{512\times 8}}
Multiply 64 and 8 to get 512.
\sqrt[4]{\frac{1}{4096}}
Multiply 512 and 8 to get 4096.
\frac{1}{8}
Calculate \sqrt[4]{\frac{1}{4096}} and get \frac{1}{8}.