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

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 $16^2 = 256$.

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, $1000 - 225 = 775$.

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.

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.