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Let's go through the image and solve the math problems step by step.

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### **5) Utilise l'écriture mathématique et calcule :**

a) **Le carré de 5 :**  
The square of 5 is \( 5^2 = 25 \).

b) **Le cube de 7 :**  
The cube of 7 is \( 7^3 = 343 \).

c) **4 au cube :**  
The cube of 4 is \( 4^3 = 64 \).

d) **Seize au carré :**  
The square of 16 is \( 16^2 = 256 \).

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### **6) Calcule :**

a) **Ajoute le carré de 3 au cube de 6 :**  
The square of 3 is \( 3^2 = 9 \) and the cube of 6 is \( 6^3 = 216 \).  
So, \( 9 + 216 = 225 \).

b) **Du cube de 10, enlève le carré de 15 :**  
The cube of 10 is \( 10^3 = 1000 \) and the square of 15 is \( 15^2 = 225 \).  
So, \( 1000 - 225 = 775 \).

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### **7) Laquelle des deux expressions a la plus grande valeur (s'il y a le cas) :**

a) **\( 14^1 \) ou \( 4^1 \) ?**  
\( 14^1 = 14 \) and \( 4^1 = 4 \), so the greater value is \( 14 \).

b) **\( 0^6 \) ou \( 0^7 \) ?**  
Both \( 0^6 = 0 \) and \( 0^7 = 0 \), so they are equal.

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Do you have any questions, or would you like further details?

Here are some related questions to expand your understanding:

1. What is the square of 12?
2. How do you calculate \( 5^3 + 6^2 \)?
3. Compare \( 8^2 \) and \( 4^3 \), which is larger?
4. What is \( 0^n \) for any positive integer \( n \)?
5. What is the difference between raising a number to the power of 2 and raising it to the power of 3?

**Tip:** Squaring a number always gives a positive result, whereas cubing can produce negative values if the base is negative.

Utilise l'écriture mathématique et calcule. Calcule: Ajoute le carré de 3 au cube de 6, Du cube de 10, enlève le carré de 15. Laquelle des deux expressions a la plus grande valeur?

Learn how to calculate squares and cubes for numbers like 5, 7, 16, and solve addition and subtraction problems involving exponents. Suitable for students in Grades 5-7.

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