Aider moi stp exercice math sur les puissance

Bonjour

puissance :

8 x 9 x 8 x 8 x 9 x 8 x 9 x 8

= 8^5 x 9^3

(-2) x 3 x (-2) x 3 x 3 x 3 x 3

= (-2)^2 x 3^5

= 2^2 x 3^5

3 x 7 x 3 x 49 x 3 x 3

= 3^4 x 7 x 7^2

= 3^4 x 7^3

4 x (-2) x 5 x 4 x (-2) x 5 x (-2) x 5

= 2^2 x 2^2 x 5^3 x (-2)^3

= 2^4 x (-2)^3 x 5^3

= (-2)^(4+3) x 5^3

= (-2)^7 x 5^3

9/4 x 1/2 x 3/2 x 1/4 x 1/2

= (3/2)^2 x 1/2 x 3/2 x (1/2)^2 x 1/2

= (3/2)^(2+1) x (1/2)^(1+2+1)

= (3/2)^3 x (1/2)^4

9/25 x 1/(-3) x (-3/5) x (-1/3) x 3/(-5)

= (3/5)^2 x (-1/3) x (-3/5) x (-1/3) x (-3/5)

= (-3/5)^(2+1+1) x (-1/3)^(1+1)

= (-3/5)^4 x (-1/3)^2

= (3/5)^4 x (1/3)^2