Activité 8 - Utilisation des propriétés des puissances

d)

Ecris sous la forme d'une puissance d'un nombre.
24 . 26
 = 24+6
= 210
(– 7)3 . (– 7)2
= (– 7)3+2
= (– 7)5
(24)3 . 25
= 24 . 3. 25
= 212. 25
= 212 + 5
= 217
26 . 2
= 26+1
= 27
(– 2)3 . (– 5)3
 = (– 2 . (– 5))3
= 103
(52)4. 5
 = 52 . 4. 5
= 58. 5
= 58+1
= 59
9 . 92 . 93
 = 91+2+3
= 96
64 . (– 7)4
 = (6 . (– 7))4
= (– 42)4
(22. 23)4
 = (22 + 3)4
= (25)4
= 25 . 4
= 220
32 . 42
= (3 . 4)2
= 122
(– 2)3 . (– 2)7
 = (– 2)3 + 7
= (– 2)10
32 . 94
 = 9 . 94
= 91 + 4
= 95
(37)3
 = 37 . 3
= 321
[(– 3)3]3
 = (– 3)3 . 3
 = (– 3)9
46 . (52)3
 = 46 . 52 . 3
= 46 . 56
= (4 . 5)6
= 206