Expand
a^{\frac{13}{2}}-13\sqrt[3]{b}a^{6}+78b^{\frac{2}{3}}a^{\frac{11}{2}}-286ba^{5}+715b^{\frac{4}{3}}a^{\frac{9}{2}}-1287b^{\frac{5}{3}}a^{4}+1716b^{2}a^{\frac{7}{2}}-1716b^{\frac{7}{3}}a^{3}+1287a^{\frac{5}{2}}b^{\frac{8}{3}}-715a^{2}b^{3}+286a^{\frac{3}{2}}b^{\frac{10}{3}}-78ab^{\frac{11}{3}}+13\sqrt{a}b^{4}-b^{\frac{13}{3}}
Evaluate
\left(\sqrt{a}-\sqrt[3]{b}\right)^{13}
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