To find the value of \( x^3 \) when \( x = -2 \):

\[
x^3 = (-2)^3 = -2 \times -2 \times -2 = -8
\]

So, \( x^3 = -8 \) when \( x = -2 \).

Would you like more details on how this calculation works, or do you have any other questions?

Here are five related questions to explore further:

1. What is the value of \( x^2 \) when \( x = -2 \)?
2. How do you find the cube of a positive number, such as \( x^3 \) when \( x = 3 \)?
3. What happens to the sign of a number when it is raised to an odd power?
4. How would the result change if \( x \) were a fraction, such as \( x = -\frac{1}{2} \)?
5. Can you express \( x^3 \) in terms of its factors when \( x = -2 \)?

**Tip:** When multiplying negative numbers, the sign of the result is determined by the number of negative factors. An odd number of negative factors will result in a negative product.

Learn how to calculate x^3 when x = -2 with a detailed step-by-step solution. Understand exponentiation with negative numbers and the multiplication process. Suitable for Grades 7-9.

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