To evaluate \((\frac{2}{5})^4\):
First, calculate \((\frac{2}{5})^4\):
\[ (\frac{2}{5})^4 = \frac{2^4}{5^4} = \frac{16}{625} \]
Now, we compare this with the given responses:
- \( \frac{8}{20} \)
- \( \frac{16}{625} \)
- \( \frac{8}{625} \)
- \( \frac{16}{20} \)
The correct answer is:
\[ \frac{16}{625} \]
So the answer is \( \frac{16}{625} \).