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Let \(m\) and \(n\) be the coefficients of seventh and thirteenth terms respectively in the expansion of \(\left(\frac{1}{3} x^{\frac{1}{3}}+\frac{1}{2 x^{\frac{2}{3}}}\right)^{18}\). Then \(\left(\frac{n}{m}\right)^{\frac{1}{3}}\) is :
