https://file.aiquickdraw.com/mathbot/file/1725547960054mmeppll4.jpg

The expression in the image is:

\[
x^3 - y^2 + z
\]

We are asked to evaluate it for:

- \( x = -10 \)
- \( y = 1 \)
- \( z = 1 \)

Let's substitute these values into the expression and calculate the result:

\[
(-10)^3 - (1)^2 + 1
\]The value of the expression \( x^3 - y^2 + z \) for \( x = -10 \), \( y = 1 \), and \( z = 1 \) is \(-1000\).

Would you like more details or have any questions? Here are some related questions to explore further:

1. How do you evaluate expressions with higher powers?
2. What is the general process for substituting values into an algebraic expression?
3. How would the result change if \( y \) or \( z \) were negative?
4. What is the significance of the signs in an expression when evaluating?
5. How do different operations (addition, subtraction, multiplication) affect the final result?

**Tip:** Always double-check your calculations by substituting the values back into the expression and verifying each step, especially when dealing with negative numbers and powers.

Evaluate x^3 - y^2 + z for x = -10, y = 1, and z = 1.

Learn how to evaluate the algebraic expression x^3 - y^2 + z for x = -10, y = 1, and z = 1. This problem involves understanding exponents and substitution, suitable for Grades 7-9 students.

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