$$\frac{ { 4 }^{ 2 } }{ { 7 }^{ 2 } } \frac{ { 4 }^{ 2 } }{ { 8 }^{ 2 } } \frac{ { 4 }^{ 2 } }{ { 9 }^{ 2 } }$$
$\frac{64}{3969}\approx 0.016124969$
$$\frac{16}{7^{2}}\times \frac{4^{2}}{8^{2}}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16}{49}\times \frac{4^{2}}{8^{2}}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16}{49}\times \frac{16}{8^{2}}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16}{49}\times \frac{16}{64}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16}{49}\times \frac{1}{4}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16\times 1}{49\times 4}\times \frac{4^{2}}{9^{2}}$$
$$\frac{16}{196}\times \frac{4^{2}}{9^{2}}$$
$$\frac{4}{49}\times \frac{4^{2}}{9^{2}}$$
$$\frac{4}{49}\times \frac{16}{9^{2}}$$
$$\frac{4}{49}\times \frac{16}{81}$$
$$\frac{4\times 16}{49\times 81}$$
$$\frac{64}{3969}$$
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$\frac{2 ^ {6}}{3 ^ {4} \cdot 7 ^ {2}} = 0.01612496850592089$
