▸ Exercice 2 Simplifier les expressions suivantes A = 2 ^ 5 * (2 ^ 3)/(2 ^ 9)
D = (3 ^ 2 * 3 ^ - 4)/(3 ^ 7 * 3 ^ 5)
G = (x ^ 7 * (x ^ 9) ^ 3)/(x ^ 5 * x ^ 2)
B = (3 ^ 4)/(6 ^ 4)
E = (pi ^ 7 * 2 ^ 3)/(4pi ^ 6)
H = (x ^ 2 * x ^ - 1 * x)/(x ^ 3)
C = (5/3) ^ 7 * (3 ^ 9)/(5 ^ 8)
F = (7 ^ 2 * 1/(7 ^ 8))/(7 ^ - 4 * 49)
I = ((3x) ^ 2 * 5x ^ 3)/(x ^ 7)
D = (3 ^ 2 * 3 ^ - 4)/(3 ^ 7 * 3 ^ 5)
G = (x ^ 7 * (x ^ 9) ^ 3)/(x ^ 5 * x ^ 2)
B = (3 ^ 4)/(6 ^ 4)
E = (pi ^ 7 * 2 ^ 3)/(4pi ^ 6)
H = (x ^ 2 * x ^ - 1 * x)/(x ^ 3)
C = (5/3) ^ 7 * (3 ^ 9)/(5 ^ 8)
F = (7 ^ 2 * 1/(7 ^ 8))/(7 ^ - 4 * 49)
I = ((3x) ^ 2 * 5x ^ 3)/(x ^ 7)
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Réponse :
Exercice 2 Simplifier les expressions suivantes
A = 2 ^ 5 * (2 ^ 3)/(2 ^ 9) = 2⁸/2⁹ = 2⁻¹
D = (3 ^ 2 * 3 ^ - 4)/(3 ^ 7 * 3 ^ 5) = 3⁻²/3¹² = 3⁻¹⁴
G = (x ^ 7 * (x ^ 9) ^ 3)/(x ^ 5 * x ^ 2) = x³⁴/x⁷ = x²⁷
B = (3 ^ 4)/(6 ^ 4) = 3⁴/(2 x 3)⁴ = 2⁻⁴
E = (pi ^ 7 * 2 ^ 3)/(4pi ^ 6) = 3π/2
H = (x ^ 2 * x ^ - 1 * x)/(x ^ 3) = x⁻¹
C = (5/3) ^ 7 * (3 ^ 9)/(5 ^ 8) = 3² x 5⁻¹
F = (7 ^ 2 * 1/(7 ^ 8))/(7 ^ - 4 * 49) = 7⁶/7⁻² = 7⁸
I = ((3x) ^ 2 * 5x ^ 3)/(x ^ 7) = 15 x⁵/x⁷ = 15 x⁻²
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