$${ 5 }^{ 2 } / { 4 }^{ 2 } { 5 }^{ 2 } { 6 }^{ 2 }$$
$\frac{5625}{4}=1406.25$
$$\frac{25}{4^{2}}\times 5^{2}\times 6^{2}$$
$$\frac{25}{16}\times 5^{2}\times 6^{2}$$
$$\frac{25}{16}\times 25\times 6^{2}$$
$$\frac{25\times 25}{16}\times 6^{2}$$
$$\frac{625}{16}\times 6^{2}$$
$$\frac{625}{16}\times 36$$
$$\frac{625\times 36}{16}$$
$$\frac{22500}{16}$$
$$\frac{5625}{4}$$
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$\frac{3 ^ {2} \cdot 5 ^ {4}}{2 ^ {2}} = 1406\frac{1}{4} = 1406.25$
