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\frac{9\times 4^{3}}{6^{4}}
Calculate 3 to the power of 2 and get 9.
\frac{9\times 64}{6^{4}}
Calculate 4 to the power of 3 and get 64.
\frac{576}{6^{4}}
Multiply 9 and 64 to get 576.
\frac{576}{1296}
Calculate 6 to the power of 4 and get 1296.
\frac{4}{9}
Reduce the fraction \frac{576}{1296} to lowest terms by extracting and canceling out 144.