$$\frac { 4 ^ { 5 } \times a ^ { 9 } } { 4 ^ { 6 } \times a ^ { 5 } b ^ { 2 } } - 45$$
$\frac{a^{4}}{4b^{2}}-45$
$$\frac{a^{4}}{4b^{2}}-45$$
$$\frac{a^{4}}{4b^{2}}-\frac{45\times 4b^{2}}{4b^{2}}$$
$$\frac{a^{4}-45\times 4b^{2}}{4b^{2}}$$
$$\frac{a^{4}-180b^{2}}{4b^{2}}$$
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$\frac{a^{4}-180b^{2}}{4b^{2}}$