1. The problem is to compute the value of $22^5$. 2. Recall that $22^5$ means $22$ multiplied by itself $5$ times: $$22^5 = 22 \times 22 \times 22 \times 22 \times 22$$. 3. Calculate step by step: - First, $22 \times 22 = 484$. - Next, $484 \times 22 = 10,648$. - Then, $10,648 \times 22 = 234,256$. - Finally, $234,256 \times 22 = 5,153,632$. 4. Therefore, $$22^5 = 5,153,632$$. 5. The tree graph description with root $22^5$ and branches to nodes $5$ and $45$, with further branches, does not affect the calculation of $22^5$. The presence of nodes $3$ and $15$ as branches of $45$ might be part of another problem or a factorization representation but is unrelated to computing $22^5$ itself. Final answer: $$22^5 = 5,153,632$$