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Bài 1
a) 15 + 4.12 - 3²
=15 + 48 - 9
= 63 - 9
= 54
b) {[(37 + 13) : 5].2 - 45 : 5}.7 - 2022⁰
= [(50 : 5).2 - 9].7 - 1
= (10.2 - 9).7 - 1
= (20 - 9).7 - 1
= 11.7 - 1
= 77 - 1
= 76
Bài 2
a) 13x + 3 = 16
13x = 16 - 3
13x = 13
x = 13 : 13
x = 1
b) 2x - 138 = 2⁴ : 2³
2x = 2 + 138
2x = 140
x = 140 : 2
x = 70
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
a)
\(13x+3=16\\ 13x=16-3\\ 13x=13\\ x=13:13\\ x=1\)
b)
\(2x-138=24:23\\ 2x-138=\dfrac{24}{23}\\ 2x=\dfrac{24}{23}+138\\ 2x=\dfrac{3198}{23}\\ x=\dfrac{3198}{23}:2\\ x=\dfrac{1599}{23}\)
@ Nguyễn Quốc Đạt em bị nhầm đề bài nhé
2\(x\) - 138 = 24 : 23
2\(x\) - 138 = 2
2\(x\) = 2 + 138
2\(x\) = 140
\(x\) = 140 : 2
\(x\) = 70
/ (-37) +14+ 26 + 37
= (-37+37) + 14 + 26
= 0 + 14 + 26
= 40
2/ (-24) + 6 + 10+24
= (-24+24) + 6 +10
= 0 + 6 + 10
= 16
3/ 15+23+(-25) + (-23)
= (23-23) + 15 - 25
= 0 + 15 - 25
= -10
4/ 60+33+ (-50) +(-33)
= (33-33) + 60 -50
= 0 + 60 - 50
= 10
5/ (-16) + (-209) + (-14) + 209
= (-209+209) - 16 - 14
= 0 - 16 - 14
= -30
6/ (-12) + (-13) +36 + (-11)
= (-12-13-11) + 36
= -36 + 36
= 0
7/ -16+ 24 + 16-34
= (-16+16) + 24 - 34
= 0 + 24 - 34
= -10
8/ 25+37-48-25-37
= (37-37) + (25-25) - 48
= 0 + 0 - 48
= -48
9/2575+37-2576-29
= (2575-2576) + 37 - 29
= -1 + 37 - 29
= -1- 29 + 37
= -30 + 37
= 7
10/34 +35+36 +37-14-15- 16-17
= (34 - 14) + (35 - 15) + (36 - 16) + (37 - 17)
= 20 + 20 + 20 + 20
= 20 . 4
= 80
a; \(\dfrac{3}{11}\) + \(\dfrac{5}{-9}\) + \(\dfrac{4}{11}\) - \(\dfrac{4}{9}\) + \(\dfrac{3}{17}\) + \(\dfrac{15}{11}\)
= (\(\dfrac{3}{11}\) + \(\dfrac{4}{11}\) + \(\dfrac{15}{11}\)) - (\(\dfrac{5}{9}\) + \(\dfrac{4}{9}\)) + \(\dfrac{3}{17}\)
= 2 - 1 + \(\dfrac{3}{17}\)
= 1 + \(\dfrac{3}{17}\)
= \(\dfrac{20}{17}\)
c; N = \(\dfrac{\dfrac{5}{7}-\dfrac{5}{9}-\dfrac{5}{11}}{\dfrac{15}{7}+\dfrac{15}{9}+\dfrac{15}{11}}\)
Phải là - \(\dfrac{5}{7}\) chỗ tử số mới đúng em nhé!
\(A=\frac{1\cdot2+2\cdot4+3\cdot6+4\cdot8+5\cdot10+6\cdot12}{3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20+18\cdot24}\)
\(A=\frac{2\cdot3\left[1\cdot2\right]+2\cdot3\left[2\cdot4\right]+2\cdot3\left[3\cdot6\right]+2\cdot3\left[4\cdot8\right]+2\cdot3\left[5\cdot10\right]}{3\cdot4\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}\)
\(A=\frac{\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}{2\cdot3\left[3\cdot4+6\cdot8+9\cdot12+12\cdot16+15\cdot20\right]}=\frac{1}{2\cdot3}=\frac{1}{6}\)
A= (2^20.3^6.5^6):(5^6.2^9.3^3.2^11)
A= 3^3
A= 27
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