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\(2018^0\left\{15^2:\left[175+2^3.5^2\right]\right\}\\ =1\left\{225:\left[175+8.25\right]\right\}\\ =225:\left[175+200\right]\\ =225:375\\ =\dfrac{3}{5}\)
a: \(65\cdot48+35\cdot48+12\cdot58-12\cdot38\)
\(=48\left(65+35\right)+12\left(58-38\right)\)
\(=48\cdot100+12\cdot20\)
\(=4800+240=5040\)
b: \(2018^2+\left\{15^2:\left[175-\left(2^3\cdot5^2-6\cdot25\right)\right]\right\}\)
\(=1+\left\{\dfrac{225}{175-\left(8\cdot25-150\right)}\right\}\)
\(=1+\dfrac{225}{175-\left(200-150\right)}\)
\(=1+\dfrac{225}{175-50}=1+\dfrac{225}{125}=1+\dfrac{5}{3}=\dfrac{8}{3}\)
a. 5.x + 105 = 200
=> 5x = 95
=> x = 95/5
=> x = 19
Vậy x = 19
b. 15×3 chia hết cho 9
Ta có 15 x 3 = 45
Mà 45 chia hết cho 9
Nên 15×3 chia hết cho 9
c. x = |2018| – 20180 – |-2016|
= 2018 - 20180 - 2016
= -20178
Vậy x = -20178
a) 5.x + 105 = 200
5.x = 200 - 105
5.x = 95
x = 95 : 5
x = 19
a, 15 . { 32 : [ 6 - 5 + 5 ( 9 : 3 ) ] + 3 } - 2018 0
= 15.{32:[1+15]+3}–1
= 15.5–1
= 74
b, 25 . { 2 7 : [ 12 - 4 + 2 2 . 16 : 2 3 ] - 2 4 }
= 25.{128:[8+4.2]–16}
= 25.24
= 600
c, 2019 . { 101 - 1000 : [ 2 2 . 2 3 + 5 6 : 5 3 - 6 2 : 11 - 2018 0 ] }
= 2019.{101–1000:[(32+125–36):11–1]}
= 2019.{101–1000:[121:11–1]}
= 2019.{101–1000:10}
= 2019.1
= 2019
x - (40 - 67) = 2018⁰
x - (-27) = 1
x + 27 = 1
x = 1 - 27
x = -26
\(x\) - (40 - 67) = 20180
\(x\) + (67 - 40) = 1
\(x\) + 27 = 1
\(x\) = 1 - 27
\(x\) = - 26
a) \(64\left(57+43\right)-2300=64.100-2300=6400-2300=4100\)
a) \(A=1+2+2^2+...+2^{50}\)
\(\Rightarrow2A=2+2^2+...+2^{51}\)
\(\Rightarrow A=2A-A=2+2^2+...+2^{51}-1-2-2^2-...-2^{50}=2^{51}-1\)
b) \(B=1+3+3^2+...+3^{100}\)
\(\Rightarrow3B=3+3^2+...+3^{101}\)
\(\Rightarrow2B=3B-B=3+3^2+...+3^{101}-1-3-3^2-...-3^{100}=3^{101}-1\)
\(\Rightarrow B=\dfrac{3^{101}-1}{2}\)
c) \(C=5+5^2+...+5^{30}\)
\(\Rightarrow5C=5^2+5^3+...+5^{31}\)
\(\Rightarrow4C=5C-C=5^2+5^3+...+5^{31}-5-5^2-...-5^{30}=5^{31}-5\)
\(\Rightarrow C=\dfrac{5^{31}-5}{4}\)
d) \(D=2^{100}-2^{99}+2^{98}-...+2^2-2\)
\(\Rightarrow2D=2^{101}-2^{100}+2^{99}-...+2^3-2^2\)
\(\Rightarrow3D=2D+D=2^{101}-2^{100}+2^{99}-...+2^3-2^2+2^{100}-2^{99}+...+2^2-2=2^{101}-2\)
\(\Rightarrow D=\dfrac{2^{101}-2}{3}\)
\(\left(-1\right)^{2018}-250 :\left(-5\right)^2-2018^0\)
\(=1-250:25-1\)
\(=-250:25\)
\(=-10\)