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a) 120 - 5 . ( x + 2 ) = 45
5 . (x + 2) = 120 - 45
5 . (x + 2) = 75
x + 2 = 75 : 5
x + 2 = 15
x = 17
b) ( 2.x - 3 )2 = 49
( 2.x - 3 )2 = 72
( 2.x - 3 ) = 7
2x = 10
x = 5
a . ( 2600 + 6400 ) - 3 . x = 1200
=>9000-3x=1200
=>3x=9000-1200
=>3x=7800
=>x=7800:3
=>x=2600
vậy x=2600
b . [ ( 6 . x - 72 ) : 2 - 84 ] . 28 = 5628
=>
( 6 . x - 72 ) : 2 - 84=5628:28
( 6 . x - 72 ) : 2 - 84=201
=>6x-72=(201+84).2
=>6x-72=570
=
>6x=570+72
=>6x=642
=>x=642:6
=>x=107
vậy x=107
A = 2 + 22 + 23 + 24 + ... + 210
A=(2+22)+22.(2+22)+...+28.(2+22)
A=6+22.6+......+28.6
A=6.(1+22+...+28)
Mà 6 chia hết cho 3
=>6.(1+22+...+28) chia hết cho 3
=>A chia hết cho 3
bài 204
a) (2600+6400)-3.x=1200
=>9000-3.x=1200
=>3.x=7800
=>x=2600
b)[(6.x-72):2-84].28=5628
[(6.x-72):2-84]=201
(6.x-72):2=285
6.x-72=570
6.x=642
x=107
\(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}=\frac{\left(2^3\right)^3.\left(3^2\right)^3.2^2.\left(3^3\right)^2}{\left(2^2\right)^4.\left(3^3\right)^4}=\frac{2^9.3^6.2^2.3^6}{2^8.3^{12}}=\frac{\left(2^9.2^2\right)\left(3^6.3^6\right)}{2^8.3^{12}}=\frac{2^{9+2}.3^{6+6}}{2^8.3^{12}}=\frac{2^{11}.3^{12}}{2^8.3^{12}}=\frac{2^3.2^8.3^{12}}{2^8.3^{12}}=2^3=8\)
36 x 12 + 36 x 45 + 36 x 33
= 36 x (12 + 45 + 33)
= 36 x 90
= 3240
b) 78 x 31 + 78 x 24 + 78 x 17 + 22 x 72
=78 x (31 + 24 + 17) + 22 x 72
= 78 x 72 + 22 x 72
= (78 + 22) x 72
= 100 x 72
= 7200
c) ( 34 - 17 )2 - 23 x 32
\(=17^2-8.9\)
\(=289-72\)
\(=217\)
\(\frac{72^3.54^2}{108^4}=\frac{\left(2^3.3^2\right)^3.\left(2.3^3\right)^2}{\left(2^2.3^3\right)^4}\\ =2^3\\ =8\\ \)
tk nha bn
Bài 1:
a)a4.a5:a3=a4+5-3
= a6
b)m6.m.m7:m3
=m6+1+7-3
=m11
c)100.10000000:1000
=100.(107:103)
=102.107-3
=102.104
=102+4
=106
d)132-122
=13.13-12.12
=169-144
=25
=52
a. a^4 .a^5 :a^3
=\(a^9:a^3\)
=a\(^6\)
b)m6.m.m7:m3
=m\(^{14}\):m\(^3\)
=m^11
c)100.10000000:1000
=10^2.10^7:10^3
=10^9:10^3
10^6
d)13^2-12^2
=13.13-12.12
=169-144
=25
=5^2
bài 2:
a. 3(24-x^2)-10=14
3.(24-x^2)=14+10
3.(24-x^2)=24
24-x^2=24:3
24-x^2=8
x^2=24-8
x^2=16
x^2=4^2
Vậy x=4
b. (x-2)^3+2^3=6^2-1
(x-2)^3+2^3=.6.6.-1
(x-2)^3+2^3=35
(x-2)^3+8=35
(x-2)^3=35-8
(x-2)^3=27
(x-2)^3=3^3
x-2=3
x=3+2
x=5
Vậy x=5
c. 2^x+2\(^{x+3}\)=72
2^x+2\(^{x+3}\)=2^6+2^3
Vay x=6 và x=0
chúc bn học giỏi nha Thủy Trần
a.
\(\left(3x-2^4\right)\times7^3=2\times7^4\)
\(3x-2^4=2\times7^4\div7^3\)
\(3x-16=2\times7\)
\(3x-16=14\)
\(3x=14+16\)
\(3x=30\)
\(x=\frac{30}{3}\)
\(x=10\)
b.
\(2130-\left(x+130\right)+72=-64\)
\(2130-\left(x+130\right)=-64-72\)
\(2130-\left(x+130\right)=-136\)
\(x+130=2130+136\)
\(x+130=2266\)
\(x=2266-130\)
\(x=2136\)
c.
\(15-\left(-x+18\right)=-24\)
\(\left(-x+18\right)=15+24\)
\(-x+18=39\)
\(-x=39-18\)
\(-x=21\)
\(x=-21\)
d.
\(10-\left|x+3\right|=-4-\left(-10\right)\)
\(\left|x+3\right|=10+4-10\)
\(\left|x+3\right|=4\)
\(x+3=\pm4\)
TH1:
\(x+3=4\)
\(x=4-3\)
\(x=1\)
TH2:
\(x+3=-4\)
\(x=-4-3\)
\(x=-7\)
Vậy x = 1 hoặc x = - 7.
\(3^{x+2}-3^x=72\)
\(\Rightarrow3^x\cdot\left(3^2-1\right)=72\)
\(\Rightarrow3^x\cdot\left(9-1\right)=72\)
\(\Rightarrow3^x\cdot8=72\)
\(\Rightarrow3^x=\dfrac{72}{8}\)
\(\Rightarrow3^x=9\)
\(\Rightarrow3^x=3^2\)
\(\Rightarrow x=2\)
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