\[
(-4)^3 = (-4) \times (-4) \times (-4)
\]

First, calculate \((-4) \times (-4)\):

\[
(-4) \times (-4) = 16
\]

Now, multiply 16 by \(-4\):

\[
16 \times (-4) = -64
\]

So, \((-4)^3 = -64\).

Would you like more details or have any questions?

Here are some related questions to explore:
1. What is \((-5)^3\)?
2. How do you calculate \((-4)^4\)?
3. What is the difference between even and odd powers of negative numbers?
4. What is the cube root of \(-64\)?
5. How does exponentiation affect positive and negative numbers?

**Tip:** For odd exponents, negative numbers stay negative, while for even exponents, they become positive.

Learn how to calculate (-4)³ step by step, applying the principles of exponents and negative number multiplication. This problem demonstrates how raising a negative number to an odd exponent results in a negative product. Suitable for students in Grades 6-8.

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