$(-4)^3 = (-4) \times (-4) \times (-4)$

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.