Given $2^a = 32$ and $a^b = 125$ find $b^a$.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Given $2^a = 32$ and $a^b = 125$ find $b^a$.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
243
Given $2^a = 32$ and $a^b = 125$ find $b^a$.
train