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\sqrt[3]{\frac{343}{2^{6}}}
Calculate 7 to the power of 3 and get 343.
\sqrt[3]{\frac{343}{64}}
Calculate 2 to the power of 6 and get 64.
\frac{7}{4}
Calculate \sqrt[3]{\frac{343}{64}} and get \frac{7}{4}.