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\frac{3^{2}\times 4^{3}}{6^{2}}
Cancel out 6^{2} in both numerator and denominator.
\frac{9\times 4^{3}}{6^{2}}
Calculate 3 to the power of 2 and get 9.
\frac{9\times 64}{6^{2}}
Calculate 4 to the power of 3 and get 64.
\frac{576}{6^{2}}
Multiply 9 and 64 to get 576.
\frac{576}{36}
Calculate 6 to the power of 2 and get 36.
16
Divide 576 by 36 to get 16.