Answer :

To solve the given expression step by step:

[tex]\[ \frac{\frac{4}{2401}}{16} \times \frac{625}{256} \][/tex]

1. Calculate the initial fraction:
[tex]\[ \frac{4}{2401} = 0.001665972511453561 \][/tex]

2. Divide this result by 16:
[tex]\[ \frac{0.001665972511453561}{16} = 0.00010412328196584757 \][/tex]

3. Evaluate the second fraction:
[tex]\[ \frac{625}{256} = 2.44140625 \][/tex]

4. Multiply the two intermediate results:
[tex]\[ 0.00010412328196584757 \times 2.44140625 = 0.00025420723136193254 \][/tex]

Thus, the final result of the given expression is:
[tex]\[ 0.00025420723136193254 \][/tex]