If the coefficient of x^10 in the binomial expansion of ((√ x)/(5^(1/4))+(√ 5)/(x^(1/3)))^60 is 5^k · l, where l, k ∈ N and l is co-prime to 5, then…

If the coefficient of $\displaystyle x^{10}$ in the binomial expansion of $\displaystyle \left(\frac{\sqrt{x}}{5^{\frac{1}{4}}}+\frac{\sqrt{5}}{x^{\frac{1}{3}}}\right)^{60}$ is $\displaystyle 5^{\mathrm{k}} \cdot l$, where $\displaystyle l, \mathrm{k} \in \mathbf{N}$ and $\displaystyle l$ is co-prime to $\displaystyle 5$, then k is equal to \_\_\_\_.