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\frac{\sqrt[3]{\sqrt{729}}}{\sqrt{\sqrt{256}}}
Calculate 9 to the power of 3 and get 729.
\frac{\sqrt[3]{27}}{\sqrt{\sqrt{256}}}
Calculate the square root of 729 and get 27.
\frac{3}{\sqrt{\sqrt{256}}}
Calculate \sqrt[3]{27} and get 3.
\frac{3}{\sqrt{16}}
Calculate the square root of 256 and get 16.
\frac{3}{4}
Calculate the square root of 16 and get 4.