$$\frac { 12 ^ { 3 } \times 15 ^ { 3 } } { 4 ^ { 3 } \times 5 ^ { 3 } } \div \frac { 27 } { 6 } =$$
$162$
$$\frac{12^{3}\times 15^{3}\times 6}{4^{3}\times 5^{3}\times 27}$$
$$\frac{2\times 12^{3}\times 15^{3}}{9\times 4^{3}\times 5^{3}}$$
$$\frac{2\times 1728\times 15^{3}}{9\times 4^{3}\times 5^{3}}$$
$$\frac{3456\times 15^{3}}{9\times 4^{3}\times 5^{3}}$$
$$\frac{3456\times 3375}{9\times 4^{3}\times 5^{3}}$$
$$\frac{11664000}{9\times 4^{3}\times 5^{3}}$$
$$\frac{11664000}{9\times 64\times 5^{3}}$$
$$\frac{11664000}{576\times 5^{3}}$$
$$\frac{11664000}{576\times 125}$$
$$\frac{11664000}{72000}$$
$$162$$
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$2\times 3^{4}$
