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ninoush13
@ninoush13
January 2021
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bonjour pourriez vous m'aidez a mon devoir de math.
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Exercice 4
E1 = 4x-3-3x+4 = 4x-3x -3+4 = x+1
E2 = 2-2y-4y+4-y = -2y-4y-y +2+4 = -7y+6
E3 = -9a+a-8+5a = -9a+a+5a - 8 = -3a-8
E4 = -3t+2+t-5 = -3t+t +2-5 = -2t - 3
Exercice 5 (* signifie multiplié par)
F1 = 4(x-3) = 4x+4*-3 = 4x-12
F2 = -3(x-8) +5 = -3x -3*-8 +5 = -3x+24+5 = -3x+29
F3 = 3(1-2x)-5 = 3*1 +3*-2x -5 = 3-6x-5 = -6x+3-5 = -6x-2
F4 = 2(2-4x) +1 = 2*2 +2*-4x +1 = 4 -8x + 1 = -8x+4+1 = -8x+5
Exercice 6
A = -(3+x) = -3-x
B = -(7-y) = -7+y
C = -(-2x-5) = 2x+5
D = -(-5+3t) = 5-3t
Exercice 7
A = (2x+3)-(-3x+2) = 2x+3 +3x-2 = 2x+3x+3-2 = 5x+1
B = -(3x-1) - (4x-2) = -3x+1 -4x+2 = -3x-4x +1+2 = -7x+3
C = -4(6a-3b-3) + 3(-2b+3a-1) = -4*6a -4*-3b -4*-3 +3*-2b +3*3a +3*-1
C = -24a +12b +12 -6b+9a-3 = -24a+9a +12b-6b +12-3 = -15a +6b +9
D = 19 -a - (4 + b) - (5 + 3a) + (7 -2b) = 19-a-4-b-5-3a+7-2b = -a-3a-b-2b+19-4-5+7 = -4a-3b+17
Exercice 8
Rappel
^ se lit puissance
x^n * x^m = x^(n+m)
1/x^n = x^-n
(x^n)^m = x^(n*m)
x^0 = 1
a) (-6)^-7 * (-6)^2 = (-6)^(-7+2) = (-6)^-5
b) (-3)^7 * (-3)^-4 = (-3)^(7-4) = (-3)^3
c) (-8)^2 * (-8)^-5 * (-8)^-1 = (-8)^(2-5-1) = (-8)^-4
d)9^2 * 9^-1 * 9^-7 * 9^-4 = 9^(2-1-7-4) = 9^-10
e) (-6)^-6/(-6)^-1 = (-6)^-6 * 1/(-6)^-1 = (-6)^-6 * (-6)^1 = (-6)^(-6+1) = (-6)^-5
f) (-5)^6/(-5)^-16 = (-5)^6 * 1/(-5)^-16 = (-5)^6 * (-5)^16 = (-5)^(6+16) = (-5)^22
g) (-3)^-9/(-3)^6 = (-3)^-9 * 1/(-3)^6 = (-3)^-9 * (-3)^-6 = (-3)^(-9-6) = (-3)^-15
h) 2^-3/2^3 = 2^-3 * 1/2^3 = 2^-3 * 2^-3 = 2*(-3-3) = 2^-6
i) ((-2)^4)-3 = (-2)^(4*-3) = (-2)^-12
j) (12^7)3 = 12^(7*3) = 12^21
k) ((-0.6)-11)-3 = (-0.6)^(-11*-3) = (-0.6)^33
l) (7^-8)^0 = 7^(-8*0) = 7^0 = 1
m) 12^9/4^9 = (3*4)^9/4^9 = 3^9 * 4^9/4^9 = 3^9 * 1 = 3^9
n) (4^8 * 4^3)/(16^-3 * 4^5) = 4^(8+3)/((4*4)^-3 * 4^5) = 4^11/((4^2)^-3 * 4^5) = 4^11/((4^(2*-3) * 4^5)
= 4^11/(4^-6 * 4^5) = 4^11/(4^(-6+5) = 4^11/4^-1 = 4^11 * 1/4^-1 = 4^11 * 4^1 = 4^(11+1) = 4^12
p) (-20)^3 * 100^-3 * 5^3 = (-4*5)^3 * (4*5*5)^-3 * 5^3 = (-4)^3 * 5^3 * 4^-3 * (5^2)^-3 * 5^3
= (-1*4)^3 * 4^-3 * 5^3 * 5^(2*^-3) * 5^3 = (-1)^3 * 4^3 * 4^-3 * 5^3 * 5^-6 * 5^3
= (-1)^3 * 4^(3-3) * 5^(3-6+3) = (-1)^3 * 4^0 * 5^0 = -(1)^3 *1 *1 = (-1)^3
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ninoush13
January 2021 | 0 Respostas
Bonjour pourriez vous m'aider en svt.
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ninoush13
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Bonjour, quelqu'un pourrait m'aider svp je suis nouvelle sur le site l'enoncer en piece merci d'avance
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E1 = 4x-3-3x+4 = 4x-3x -3+4 = x+1
E2 = 2-2y-4y+4-y = -2y-4y-y +2+4 = -7y+6
E3 = -9a+a-8+5a = -9a+a+5a - 8 = -3a-8
E4 = -3t+2+t-5 = -3t+t +2-5 = -2t - 3
Exercice 5 (* signifie multiplié par)
F1 = 4(x-3) = 4x+4*-3 = 4x-12
F2 = -3(x-8) +5 = -3x -3*-8 +5 = -3x+24+5 = -3x+29
F3 = 3(1-2x)-5 = 3*1 +3*-2x -5 = 3-6x-5 = -6x+3-5 = -6x-2
F4 = 2(2-4x) +1 = 2*2 +2*-4x +1 = 4 -8x + 1 = -8x+4+1 = -8x+5
Exercice 6
A = -(3+x) = -3-x
B = -(7-y) = -7+y
C = -(-2x-5) = 2x+5
D = -(-5+3t) = 5-3t
Exercice 7
A = (2x+3)-(-3x+2) = 2x+3 +3x-2 = 2x+3x+3-2 = 5x+1
B = -(3x-1) - (4x-2) = -3x+1 -4x+2 = -3x-4x +1+2 = -7x+3
C = -4(6a-3b-3) + 3(-2b+3a-1) = -4*6a -4*-3b -4*-3 +3*-2b +3*3a +3*-1
C = -24a +12b +12 -6b+9a-3 = -24a+9a +12b-6b +12-3 = -15a +6b +9
D = 19 -a - (4 + b) - (5 + 3a) + (7 -2b) = 19-a-4-b-5-3a+7-2b = -a-3a-b-2b+19-4-5+7 = -4a-3b+17
Exercice 8
Rappel
^ se lit puissance
x^n * x^m = x^(n+m)
1/x^n = x^-n
(x^n)^m = x^(n*m)
x^0 = 1
a) (-6)^-7 * (-6)^2 = (-6)^(-7+2) = (-6)^-5
b) (-3)^7 * (-3)^-4 = (-3)^(7-4) = (-3)^3
c) (-8)^2 * (-8)^-5 * (-8)^-1 = (-8)^(2-5-1) = (-8)^-4
d)9^2 * 9^-1 * 9^-7 * 9^-4 = 9^(2-1-7-4) = 9^-10
e) (-6)^-6/(-6)^-1 = (-6)^-6 * 1/(-6)^-1 = (-6)^-6 * (-6)^1 = (-6)^(-6+1) = (-6)^-5
f) (-5)^6/(-5)^-16 = (-5)^6 * 1/(-5)^-16 = (-5)^6 * (-5)^16 = (-5)^(6+16) = (-5)^22
g) (-3)^-9/(-3)^6 = (-3)^-9 * 1/(-3)^6 = (-3)^-9 * (-3)^-6 = (-3)^(-9-6) = (-3)^-15
h) 2^-3/2^3 = 2^-3 * 1/2^3 = 2^-3 * 2^-3 = 2*(-3-3) = 2^-6
i) ((-2)^4)-3 = (-2)^(4*-3) = (-2)^-12
j) (12^7)3 = 12^(7*3) = 12^21
k) ((-0.6)-11)-3 = (-0.6)^(-11*-3) = (-0.6)^33
l) (7^-8)^0 = 7^(-8*0) = 7^0 = 1
m) 12^9/4^9 = (3*4)^9/4^9 = 3^9 * 4^9/4^9 = 3^9 * 1 = 3^9
n) (4^8 * 4^3)/(16^-3 * 4^5) = 4^(8+3)/((4*4)^-3 * 4^5) = 4^11/((4^2)^-3 * 4^5) = 4^11/((4^(2*-3) * 4^5)
= 4^11/(4^-6 * 4^5) = 4^11/(4^(-6+5) = 4^11/4^-1 = 4^11 * 1/4^-1 = 4^11 * 4^1 = 4^(11+1) = 4^12
p) (-20)^3 * 100^-3 * 5^3 = (-4*5)^3 * (4*5*5)^-3 * 5^3 = (-4)^3 * 5^3 * 4^-3 * (5^2)^-3 * 5^3
= (-1*4)^3 * 4^-3 * 5^3 * 5^(2*^-3) * 5^3 = (-1)^3 * 4^3 * 4^-3 * 5^3 * 5^-6 * 5^3
= (-1)^3 * 4^(3-3) * 5^(3-6+3) = (-1)^3 * 4^0 * 5^0 = -(1)^3 *1 *1 = (-1)^3