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

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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.

Understand how to solve the expression (1/5)^2 • (-4)^3, which involves exponentiation with fractions and negative bases. Learn about the laws of exponents and how they apply to negative numbers, suitable for Grades 6-8.

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