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\sqrt[4]{\frac{3}{16}\times \frac{27}{4^{2}}}
Calculate 3 to the power of 3 and get 27.
\sqrt[4]{\frac{3}{16}\times \frac{27}{16}}
Calculate 4 to the power of 2 and get 16.
\sqrt[4]{\frac{81}{256}}
Multiply \frac{3}{16} and \frac{27}{16} to get \frac{81}{256}.
\frac{3}{4}
Calculate \sqrt[4]{\frac{81}{256}} and get \frac{3}{4}.