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\(a.\left(35-815\right)-\left(795-65\right)\\ =35-815-795+65\\ =\left(35+65\right)-\left(815+795\right)\\ =100-1610=-1510\)
Bài 2:
a: Ta có: \(\left(35-815\right)-\left(795-65\right)\)
\(=35-815-795+65\)
\(=100-1600\)
=-1500
b: Ta có: \(5-197-2015-2015\)
\(=-2010-2212\)
=-4222
c: Ta có: \(1259-1409-12+1259+1409\)
\(=2518-12\)
=2506
5(x-1)=125-25
5(x-1)=100
x-1=100:5
x-1=20
x=20+1
x=21
12(x-1):3=64+8
12(x-1):3=72
12(x-1)=72.3
12(x-1)=216
x-1=216:12
x-1=18
x=18+1
x=19
(x-1)^3=5^3
=>x-1=5
x=5+1
x=6
\(10,\Rightarrow x-14=-8\Rightarrow x=6\\ 11,\Rightarrow7-x-32=-25\\ \Rightarrow-25-x=-25\Rightarrow x=0\\ 12,\Rightarrow3x-16=\dfrac{2\cdot7^4}{7^3}=2\cdot7=14\\ \Rightarrow3x=30\Rightarrow x=10\\ 13,\Rightarrow\left[{}\begin{matrix}x-4=5\\x-4=-5\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=9\\x=-1\end{matrix}\right.\\ 14,\Rightarrow\left(2x+11\right)^2=2^4:2^4=1\\ \Rightarrow\left[{}\begin{matrix}2x+11=1\\2x+11=-1\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=-5\\x=-6\end{matrix}\right.\\ 15,\Rightarrow7^{3x-2}=7^3\cdot4+7^3\cdot3=7^3\cdot7=7^4\\ \Rightarrow3x-2=4\\ \Rightarrow3x=6\Rightarrow x=2\)
10) x - [42 + (-28)] = -8
x - 14 = -8
x = -8 + 14 = 6
11) (7-x) - (25 +7) = -25
(7 -x) - 32 = -25
7 -x = -25 + 32 = 7
x = 7 -7 = 0
12) (3x - 24) . 73 = 2 . 74
(3x - 16) . 343 = 4802
3x - 16 = 4802 : 343= 14
3x = 14 + 16 = 30
x = 30 : 3 =10
13) (x - 4)2 = 25
⇒ 52 = 25
⇒ x - 4 = 5
⇒ x = 5 + 4 =9
14) 24(2x + 11)2 = 42
16(2x + 11)2 = 16
(2x + 11)2 = 16 : 16 = 1
⇒ 2x + 11 = 1
⇒ 2x = 11 + 1 = 12
⇒ x = 12 : 2 = 6
15) 73x-2 - 3.73 = 73 . 4
73x-2 - 1029 = 1372
73x-2 = 1372 + 1029 = 2401
⇒ 74 = 2401
⇒ 3x - 2 = 4
⇒ 3x = 4 + 2 = 6
⇒ x = 6 : 3 =2
bài 1
a)-7105-(155-7105)+355
=-7105 -155 +7105 +355
=(-7105 + 7105)+(-155 + 355)
=0 + 200
=200
b)(35−815)−(795−65)b)(35-815)-(795-65)
=−780−730=-780-730
=−1510
a ) x y 2 y z = x y 2 : y y z : y = x y z b ) a 00 a ¯ b 00 b ¯ = a 00 a ¯ : 1001 b 00 b ¯ : 1001 = a b
c ) a b 00 ab ¯ c d 00 c d ¯ = a b 00 ab ¯ : 10001 c d 00 c d ¯ : 10001 = a b ¯ c d ¯
d ) x y z − y z t y 2 z 2 − y z = y z ( x − 1 ) : ( − y z ) y z ( y z − 1 ) : ( − y z ) = t − x 1 − y z
Ta có : \(5^{200}=\left(5^2\right)^{100}=25^{100}\)
Và :\(3^{300}=\left(3^3\right)^{100}=27^{100}\)
Vì 25 < 27 nên \(25^{100}
2512=(52)12=52.12=524
1259=(53)9=53.9=527
ta có 527>524
=>1259>2512
2512 < 1259