$$(\frac{a}{b})^{7}\times a^{6}\times b^{5}\times(\frac{b}{a})^{6}$$
$b^{4}a^{7}$
$$\frac{a^{7}}{b^{7}}a^{6}b^{5}\times \left(\frac{b}{a}\right)^{6}$$
$$\frac{a^{7}}{b^{7}}a^{6}b^{5}\times \frac{b^{6}}{a^{6}}$$
$$\frac{a^{7}a^{6}}{b^{7}}b^{5}\times \frac{b^{6}}{a^{6}}$$
$$\frac{a^{7}a^{6}b^{5}}{b^{7}}\times \frac{b^{6}}{a^{6}}$$
$$\frac{a^{6}a^{7}}{b^{2}}\times \frac{b^{6}}{a^{6}}$$
$$\frac{a^{6}a^{7}b^{6}}{b^{2}a^{6}}$$
$$b^{4}a^{7}$$
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