(10-4x)+120:23=1+42
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a) 5(x+7) - 10 = 2^3 . 5
5(x+7 ) -10 = 8 . 5 = 40
5(x+7) = 40 + 10 = 50
x + 7 = 50 : 5 = 10
x = 10 - 7 = 3
a) 72.5–(2x+1)=630:972.5–(2x+1)=630:9
⇒245–2x–1=70⇒245–2x–1=70
⇒−2x=−22+70⇒−2x=−22+70
⇒−2x=−174⇒−2x=−174
⇒x=87⇒x=87
b)(10−4x)+120:23=17
10−4x+15=17
10−4x=17−15
10−4x=2
4x=10−2
4x=8
x=8:4
x=2
a: \(3^2\cdot\frac{1}{243}\cdot81^2\cdot\frac{1}{3^2}\)
\(=\frac{3^2}{3^5}\cdot\frac{3^8}{3^2}=\frac{1}{3^3}\cdot3^6=3^3=27\)
b: \(4^6\cdot256^2\cdot2^4=\left(2^2\right)^6\cdot\left(2^8\right)^2\cdot2^4\)
\(=2^{12}\cdot2^{16}\cdot2^4=2^{12}\cdot2^{20}=2^{32}\)
c: \(4^6\cdot9^5+6^9\cdot120\)
\(=2^{12}\cdot3^{10}+2^9\cdot3^9\cdot2^3\cdot3\cdot5\)
\(=2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5\)
\(=2^{12}\cdot3^{10}\cdot6=2^{13}\cdot3^{11}\)
Ta có \(8^4\cdot3^{12}-6^{11}\)
\(=2^{12}\cdot3^{12}-2^{11}\cdot3^{11}\)
\(=2^{11}\cdot3^{11}\left(2\cdot3-1\right)=2^{11}\cdot3^{11}\cdot5\)
Ta có: \(A=\frac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}\)
\(=\frac{2^{13}\cdot3^{11}}{2^{11}\cdot3^{11}\cdot5}=\frac{2^2}{5}=\frac45\)
d: \(4^2\cdot25^2+32\cdot125\)
\(=2^4\cdot5^4+2^5\cdot5^3\)
\(=2^4\cdot5^3\left(5+2\right)=2^4\cdot5^3\cdot7\)
\(B=\frac{4^2\cdot25^2+32\cdot125}{2^3\cdot5^2}\)
\(=\frac{2^4\cdot5^3\cdot7}{2^3\cdot5^2}=2\cdot5\cdot7=70\)
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135
1) 25 + 91 + 75 + 101
= (25+75) + (91 + 101)
= 100 + 192
= 292
2) 41 x 39 - 41 x 9
= 41 x (39 - 9)
= 41 x 30
= 1230
3) 710 x 99 + 710
= 710 x 99 + 710 x 1
= 710 x (99 + 1)
= 710 x 100
= 71000
4) 17 x 85 + 15 x 17 - 120
= 17 x (85 + 15) - 120
= 17 x 100 -120
= 1700 -120
= 1580
5) (39 x 42 - 37 x 42) : 42
= 42 x (39 - 37) : 42
= 42 x 2 : 42
= 84 : 42
=2
6) 120 - 48 - 52
= 120 - (48 + 52)
= 120 - 100
= 20
7) 23 x 75 + 25 x 23 + 180
= 23 x (75 + 25) +180
= 23 x (75 + 25) +180
= 23 x 100 + 180
= 2300 +180
=2480
8) 2448 : [119 - (23 - 6)]
= 2448 : (119 - 17)
= 2448 : 102
= 24
(x-42) - 17 = 127
=> x - 42 = 127 + 17 = 144
=> x = 144 + 42 = 186
23(x+1) = 69
=> x + 1 = 69 : 23 = 3
x = 3 - 1 = 2
2x + 5 = 120 : 2 = 60
=> 2x = 60 - 5 = 55
x = 55 : 2 = 27,5
5x - 2 = 613
=> 5x = 613 + 2 = 615
x = 615 : 5 = 123
a)(x-42)-17=127
(x-42)=127+17
(x-42)=144
x=144+42
x=186
b)23(x+1)=69
(x+1)=69:23
(x+1)=3
x=3-1
x=2
c)2.x+5=120:2
2.x+5=60
2.x=60-5
2.x=55
x=55:2
x=27,5
d)5.x-2=613
5.x=613+2
5.x=615
x=615:5
x=123
1) Tính
a) 10-(-7)+36-(-106)
= 10 + 7 + 36 + 106
= 17 + 36 + 106
= 53 + 106
= 159
b) 129 - 5. {29-(6-1)2 }
= 129 - 5. { 29 - 52 }
= 129 - 5. { 29 - 25 }
= 129 - 5. 4
= 129 - 20
= 109
c) 42-(-50) + (-42) - 120
= 42+ (-42) - ( 120 - 50 )
= 0 - 70
= - 70