aⁿ×aᵐ=aⁿ⁺ᵐ. (aⁿ)ᵐ=aⁿᵐ. a⁰=1. a⁻ⁿ=1/aⁿ. a^(1/2)=√a. a^(p/q)=⁹√(aᵖ).
√a·√b=√(ab). √a/√b=√(a/b). Rationaliser : 1/√a=√a/a. 1/(a+√b)=(a−√b)/(a²−b).
Encadrement : a≤u≤b et c≤v≤d → ac≤uv≤bd. Incertitude absolue Δx.
(1) 2⁻³ (2) (3²)³ (3) (2×5)⁴/10² (4) 4^(3/2)
(1) 1/8 (2) 729 (3) 100 (4) 8
(1) √75 (2) √18+√8 (3) √45−2√5 (4) √(3/4)
(1) 5√3 (2) 5√2 (3) √5 (4) √3/2
(1) 6/√3 (2) 1/(√5+1) (3) 3/(2−√3)
(1) 2√3 (2) (√5−1)/4 (3) 3(2+√3)
3≤a≤5 et 2≤b≤4. (1) a+b (2) a×b (3) a−b
(1) 5≤a+b≤9 (2) 6≤ab≤20 (3) −1≤a−b≤3
√2≈1,414. Encadrer 3√2. Calculer (1,414)².
4,242. Carré≈2 (arrondi).
Mesure : L=12,4 cm (ΔL=0,1), l=8,2 cm (Δl=0,1).
a³×a⁴=
(a³)²=
a⁻²=
√(a·b)=
1/√2=
√75=
2⁻³=
4^(1/2)=
1≤a≤3, 2≤b≤4. a+b∈
a^(3/2)=
