The result of the expression $\left(\frac{1}{5}\right)^2 \cdot (-4)^3$ is $-2.56$.

Would you like more details or have any questions?

Here are 5 related questions to deepen your understanding:

1. What happens if you change the base of the exponent in $(1/5)^2$?
2. How would the expression change if $-4$ was raised to an even power instead of an odd one?
3. Can you express $(1/5)^2$ as a decimal before multiplying with $(-4)^3$?
4. How does the negative sign affect the overall result when raising $-4$ to a power?
5. How would the result differ if the multiplication was reversed, i.e., $(-4)^3 \cdot (1/5)^2$?

Tip: When multiplying powers, pay attention to the sign of the base, as it greatly influences the final result.