a, 53.27+53.74-53.270
b, 23: [2x-6.32]=92
c,60 : [3x-32 .2]= 5
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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
`@` `\text {Ans}`
`\downarrow`
`a,`
`5.125.25 \div 5^6`
`=`\(5\cdot5^3\cdot5^2\div5^6\)
`=`\(5^{1+3+2-6}=5^{6-6}=5^0=1\)
`b,`
\(2^{14}\div\left(2^6\cdot32\right)\)
`=`\(2^{14}\div\left(2^6\cdot2^5\right)\)
`=`\(2^{14}\div2^{11}=2^3\)
`c,`
`3.3^5\div 27`
`=`\(3\cdot3^5\div3^3\)
`=`\(3^{1+5-3}\)
`=`\(3^3\)
`d,`
\(2^{15}\div\left(2^6\cdot32\right)=2^{15}\div\left(2^6\cdot2^5\right)=2^{15}\div2^{11}=2^4\)
`e,`
\(3^2\cdot27\div81=3^2\cdot3^3\div3^4=3\)
`g,`
\(100\cdot1000\cdot10000-10^9=10^2\cdot10^3\cdot10^4-10^9\)
`=`\(10^9-10^9=0\)
`h,`
\(125^4\div5^9=\left(5^3\right)^4\div5^9=5^{12}\div5^9=5^3\)
a)(x + 4) - 32 = 23
x + 4 = 23 + 32 = 55
x = 55 - 4 = 51
b) 150 - 3x = 60
3x = 150 - 60 = 90
x = 90 : 3 = 30
c) 7x + 2x - 10 = 80
9x = 80 + 10 = 90
x = 90 : 9 = 10
d) 300 - 2(x - 3) = 100
2x - 2 * 3 = 300 - 100 = 200
2x - 6 = 200
2x = 200 + 6 = 206
x = 206 : 2 = 103
a, 70 - 5 ( x - 3 ) = 45
⇔ 5 . x - 3 = 70 - 45
⇔ 5 x - 3 = 35
⇔ x - 3 = 35 : 5 ⇔ x - 3 = 7
⇔ x = 10
b, 10 + 2 x = 4 5 : 4 3
⇔ 10 + 2 x = 4 2 ⇔ 10 + 2 x = 16
⇔ 2 x = 4 ⇔ x = 2
c, 60 - 3 x - 2 = 51
⇔ 3 x - 2 = 60 - 51
⇔ 3 x - 2 = 9
⇔ x - 2 = 3 ⇔ x = 5
d, 4 x - 20 = 2 5 : 2 3
⇔ 4 x - 20 = 2 2 ⇔ 4 x - 20 = 4
⇔ 4 x = 24 ⇔ x = 6
a. ( 3x - 4 ) . 23 = 64
( 3x - 4 ) . 2 = 4
3x - 4 = 2
3x = 6
x= 2
b. 2x = 32
2x = 25
x = 5
a) 53.27+53.74-53.270 b) 23:(2x-6.32) =92 c) 60: (3x-32.2)=5
=53.27+53.74-53.1 23:(2x-6.9) =92 60:(3x-9.2)=5
= 53. (27+74-1) 23;(2x-54) =92 60: (3x-18)=5
=53.100 2x-54= 23:92 3x-18=60:5
= 5300 2x-54= 1/4 3x-18= 12
2x=1/4 +54 3x=12+18
2x=217/4 3x= 30
x=217/4 :2 x=30:3
x=217/8 x=10