What is the remainder when $2^3 \cdot 4^5 \cdot 6^7 \cdot 8^9$ is divided by 13?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is the remainder when $2^3 \cdot 4^5 \cdot 6^7 \cdot 8^9$ is divided by 13?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
8
What is the remainder when $2^3 \cdot 4^5 \cdot 6^7 \cdot 8^9$ is divided by 13?
train