Bonsoir
| À | B | C | D | E
I | 3 | 6 | x | 9 | 9
II | 2 | 4 | 3 | x | 3
III | 7 | x | 2 | 1 | 6 |
IV | 6 | 2 | 5 | x | 5
V | 8 | 0 | 0 | 0 | 0
1) 2^2 x 3^2 = 4 x 9 = 36
10^2 - 1 = 100 - 1 = 99
2) 3^5 = 3 x 3 x 3 x 3 x 3 = 243
3) 12^5/(2^7 x 3^2)
= (4 x 3)^5/(2^7 x 3^2)
= (2^2 x 3)^5/(2^7 x 3^2)
= (2^(2*5) x 3^5)/(2^7 x 3^2)
= 2^(10-7) x 3^(5-2)
= 2^3 x 3^3
= 8 x 27
= 216
4) 5^7 x 2^3 x 10^(-3)
= 3125 x 8 x 0,001
= 25
5) 10^7 x 5^(-3)
= (5 x 2)^7 x 5^(-3)
= 5^7 x 2^7 x 5^(-3)
= 5^(7-3) x 2^7
= 5^4 x 2^7
= 625 x 128
= 80000
a) (2^3)^5
= 2^(3*5)
= 2^15
= 32768
b) 2^2 x 2^4
= 4 x 16
= 64
2^5 x 5^4 / 10^3
= (2 x 5)^4 x 2 / 10^3
= 10^4 x 2 / 10^3
= 10^(4-3) x 2
= 10 x 2
= 20
c) 13 x 5^3 x 2
= 26 x 125
= 3250
E) 5^6 x 6 - 5^2 x 4
= 15625 x 6 - 25 x 4
= 93750 - 100
= 93650
