What is $\left(20 \cdot \left(\frac{2}{5}\right)^2 \cdot \left(\frac{3}{4}\right)^2 \cdot \frac{5}{9}\right)^5$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
What is $\left(20 \cdot \left(\frac{2}{5}\right)^2 \cdot \left(\frac{3}{4}\right)^2 \cdot \frac{5}{9}\right)^5$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
1
What is $\left(20 \cdot \left(\frac{2}{5}\right)^2 \cdot \left(\frac{3}{4}\right)^2 \cdot \frac{5}{9}\right)^5$?
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