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]
