6. Evaluate the intersection property

If \(X\) \(=\) \(\{\)\(z\) : \(z\) \(=\) $3^n$, \(n \in \mathbb{W}\) and \(n \le 3\}\), \(Y\) \(=\) \(\{\)\(z\) : \(z\) \(=\) $3n$, \(n \in \mathbb{N}\) and \(n \le 4\}\) and \(Z\) \(=\) \(\{\)\(0\), \(1\), \(3\), \(9\), \(10\)\(\}\), then select the associative property of intersection of sets and evaluate the following:

 

(i) Associative property of intersection of sets: \(X \cup (Y \cap Z) = (X \cap Y) \cap Z\)\(X \cap (Y \cap Z) = (X \cup Y) \cup Z\)\(X \cup (Y \cup Z) = (X \cup Y) \cup Z\)\(X \cap (Y \cap Z) = (X \cap Y) \cap Z\).

 

(ii) \(X \cap (Y \cap Z)\)  \(=\) $\left\{i,i\right\}$.

 

[Note: Insert the answer in ascending order, and insert a comma if necessary]