Bonjour,
application des règles de calcul sur les puissances vues en cours :
nᵃ × nᵇ = nᵃ⁺ᵇ
nᵃ ÷ nᵇ = nᵃ⁻ᵇ
(nᵃ)ᵇ = nᵃˣᵇ
donc :
O = (10⁷×10²)/10³ = 10⁷⁺²⁻³ = 10⁶
N = (10¹×10²)/10³ = 10¹⁺²⁻³ = 10⁰
B = 10⁴/(10⁷×10³) = 10⁴⁻⁽⁷⁺³⁾ = 10⁻⁶
E = (10⁵)⁵/10⁵ = 10⁵ˣ⁵⁻⁵ = 10²⁰
I = (10⁴×10²)/10⁹ = 10⁴⁺²⁻⁹ = 10⁻³
J = 10⁸/(10¹×10²) = 10⁸⁻⁽¹⁺²⁾ = 10⁵
U = (10³)⁴/10⁵ = 10³ˣ⁴⁻⁵ = 10⁷
E = (10²)⁴/10⁹ = 10²ˣ⁴⁻⁹ = 10⁻¹
10⁻⁶ < 10⁻³ < 10⁻¹ < 10⁰ < 10⁵ < 10⁶ < 10⁷ < 10²⁰
B I E N J O U E