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Sagot :

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| 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

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