1. The problem appears to involve simplifying or understanding the expression $\sqrt[\binom{x_i x_i \sin x \sin x \cos x \pi \tan x}{ }]{}$, which is not a standard mathematical expression due to the empty denominator in the root index. 2. Normally, the expression $\sqrt[n]{a}$ means the $n$th root of $a$, where $n$ is a positive integer or a real number. Here, the root index is given as a binomial coefficient with a complicated numerator and an empty denominator, which is undefined. 3. Since the denominator of the binomial coefficient is empty, the expression is not well-defined mathematically. The binomial coefficient $\binom{a}{b}$ requires both $a$ and $b$ to be integers with $0 \leq b \leq a$. 4. Therefore, the expression cannot be simplified or evaluated as given. 5. If you intended a different expression or need help with a specific part, please clarify the problem statement.