Answer :

[tex] \sqrt{\frac{27x^{6}y^{9}}{x^{7}}} = \frac{\sqrt{27x^{6}y{9}}}{\sqrt{x^{7}}} = \frac{5.196152422706632x^{3}y^{\frac{9}{2}}}{x^{\frac{7}{2}}} = \frac{5.196152422706632 \sqrt[2]{y^9}}{{x}} [/tex]

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