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The text in the image appears to say:

"Construct Arguments Diego says that if you cube the number 4 and then take the cube root of the result, you end up with 8. Is Diego correct? Explain."

### Let's analyze the problem:

1. **Cubing the number 4**: 
   - \( 4^3 = 4 \times 4 \times 4 = 64 \).

2. **Taking the cube root of 64**:
   - \( \sqrt[3]{64} = 4 \).

Diego's statement says that the result should be 8, but we see that the cube root of 64 is 4, not 8. Therefore, Diego's claim is incorrect.

Would you like further explanation or any details on this? Here are some related questions you might find helpful:

1. What is the cube root of a negative number?
2. How do you calculate cube roots manually?
3. How do powers and roots relate to each other?
4. What happens when you cube other integers?
5. What is the difference between square roots and cube roots?

**Tip:** Always check your results step-by-step to verify accuracy when working with powers and roots.

Diego says that if you cube the number 4 and then take the cube root of the result, you end up with 8. Is Diego correct? Explain.

Analyze whether cubing the number 4 and taking the cube root results in 8. Learn the steps to solve this problem and understand the concepts of cubing numbers and cube roots. Suitable for middle school students in Grades 6-8.

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