Réponse :

Explications étape par étape

Bonjour

Calculer :

4^3 = 4 x 4 x 4 = 64

4^(-3) = 1/(4^3) = 1/64

4 x 10^3 = 4 x 1000 = 4000

4 x 10^(-3) = 4/(10^3) = 4/1000 = 1/250

-4 x 10^3 = -4 x 1000 = -4000

-4 x 10^(-3) = -4/(10^3) = -4/1000 = -1/250

2 x 5^3 + 4 x 7^2 = 2 x 5 x 5 x 5 + 4 x 7 x 7 = 250 + 196 = 446

(-5)^2 + (-7)^2 = (-5) x (-5) + (-7) x (-7) = 25 + 49 = 74

(-5 - 7)^2 = (-12)^2 = (-12) x (-12) = 144

(3 + 5)^(-2) - (3 - 5)^(-2) = 8^(-2) - (-2)^(-2) = 1/(8^2) - 1/(-2)^2 = 1/64 - 1/4 = 1/64 - 16/64 = -15/64

Écrire en notation scientifique :

172 000 000 = 1,72 x 10^8

0,0041 = 4,1 x 10^(-3)

-0,00012 = -1,2 x 10^(-4)

0,00000007 = 7 x 10^(-8)

-752 000 = -7,52 x 10^5

351 x 10^9 = 3,51 x 10^2 x 10^9 = 3,51 x 10^(2+9) = 3,51 x 10^11

-500 x 10^24 = -5 x 10^2 x 10^24 = -5 x 10^(2+24) = -5 x 10^26

0,0053 x 10^(-3) = 5,3 x 10^(-3) x 10^(-3) = 5,3 x 10^(-3-3) = 5,3 x 10^(-6)

-0,089 x 10^13 = -8,9 x 10^(-2) x 10^13 = -8,9 x 10^(-2+13) = -8,9 x 10^(11)