Evaluate (2/5)4 .(1 point) Responses 8/20 Start Fraction 8 over 20 End Fraction 16/625 Start Fraction 16 over 6/25 End Fraction 8/625 Start Fraction 8 over 625 End Fraction 16/20

1 answer

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 \( \frac{16}{625} \).

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