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a) 328 . 422 258 . 39
326 . 423 514 . 93
738 . 37 + 63 . 738
500 . 4918
A= 63 + 64 + 65 +......+ 62017
a, 328 = (314)2 = 47829692 Ta thấy: 47829692 > 41943042
422 = (411)2 = 41943042 Nên 328 >422
Nếu là bài so sánh thì làm như này nha
1/ 3(x - 2) = 9 => x - 2 = 3 => x = 5
2/ 3(x - 36) = 216 => x - 36 = 72 => x = 108
3/ (x - 3)3 = 33 => x - 3 = 3 => x = 6
4/ 2x = 32 => 2x = 25 => x = 5
5/ 3x - 16 = 2.74 : 73 = 14 => 3x = 30 => x = 10
6/ (6x - 39) : 3 = 201 => 6x - 39 = 603 => 6x = 642 => x = 107
7/ (3x - 15)2 = 81 => (3x - 15)2 = 92 => 3x - 15 = 9 => 3x = 24 => x = 8
8/ 3(x + 4) = 105 => x + 4 = 35 => x = 31
9/ 12x - 43 = 4.84 : 83 = 32 => 12x = 32 : 64 => 12x = 1/2 => x = 1/24
10/ 41 - (2x - 5) = 680 => 2x - 5 = -639 => 2x = -634 => x = - 317
\(A=1+7+7^2+7^3+...+7^{200}\)
\(\Rightarrow7A=7+7^2+7^3+...+7^{201}\)
\(\Rightarrow7A-A=\left(7+7^2+...+7^{201}\right)-\left(1+7+7^2+...+7^{200}\right)\)
\(\Rightarrow6A=7^{201}-1\)
\(\Rightarrow A=\frac{7^{201}-1}{6}\)
\(B=5^1+5^3+5^5+...+5^{101}\)
\(\Rightarrow5^2B=5^3+5^5+5^7+...+5^{103}\)
\(\Rightarrow25B-B=\left(5^3+5^5+...+5^{103}\right)-\left(5+5^3+...+5^{101}\right)\)
\(\Rightarrow24B=5^{103}-5\)
\(\Rightarrow B=\frac{5^{103}-5}{24}\)
\(D=1+a+a^2+a^3+...+a^n\)
\(\Rightarrow aD=a+a^2+a^3+...+a^{n+1}\)
\(\Rightarrow aD-D=\left(a+a^2+...+a^{n+1}\right)-\left(1+a+a^2+...+a^n\right)\)
\(\Rightarrow\left(a-1\right)D=a^{n+1}-1\)
\(\Rightarrow D=\frac{a^{n+1}-1}{a-1}\)
1) 3.52 - 16 : 22
= 3 . 25 - 24 : 22
= 75 - 22
= 75 - 4
= 71
2) 23 .17 -23 . 14
= 23 . ( 17 - 14 )
= 8 . 3
= 24
3) 17.85 + 15.17 - 120
= 17 . ( 85 + 17 ) - 120
= 75 . 102 - 120
= 7650 - 120
= 7530
4) 20 - [30-(5 - 1)2]
= 20 - ( 30 - 42 )
= 20 - ( 30 - 16 )
= 20 - 14
= 6
5) 36 . 32 + 23 .22
= 38 + 25
= 6561 + 32
= 6593
6) 17 .85 + 15.17 - 120 + 20120
= 17 . ( 85 + 15 ) - 120 + 1
= 17 . 100 - 120 + 1
= 1700 - 120 + 1
= 1580 + 1
= 1581
7) 37. 24 + 37. 76 + 63 . 79 + 21. 63
= 37 . ( 24 + 76 ) + 63 . ( 79 + 21 )
= 37 . 100 + 63 . 100
= 100 . ( 37 + 63 )
= 100 . 100
= 10000
1) \(3.5^2-16.2^2=3.25-16.4=75-64=11\)
2) \(2^3.17-2^3.14=2^3.\left(17-14\right)=8.3=24\)
3) \(17.85+15.17-120=17.\left(85+15\right)-120\)
\(=17.100-120=1700-120=1580\)
4)\(20-\left[30-\left(5-1\right)^2\right]=20-\left[30-4^2\right]\)
\(=20-\left[30-16\right]=20-14=6\)
5) \(3^6.3^2+2^3.2^2=3^8+2^5=6561+32=6593\)
6) \(17.85+15.17-120+2012^0=17.\left(85+15\right)-120+1\)
\(=17.100-119=1700-119=1581\)
7) \(37.24+37.76+63.79+21.63\) \(=37.\left(24+76\right)+63.\left(79+21\right)\)
\(=37.100+63.100=100.\left(37+63\right)=100.100=10000\)
\(=\frac{2^7.\left(2.3\right)^5-\left(2.2\right)^2.\left(3^2.2\right)^2}{\left(2^2.3\right)^5+\left(2^3\right)^4+3^5}\)
\(=\frac{2^7.2^5.3^5-2^4.3^4.2^2}{2^{10}.3^5+2^{12}.3^5}\)
a)4.15 + 28:7 - 620:618
= 60 + 4 - 62
= 60 + 4 - 36
= 28
b)(32+23.5) : 7
= (9+ 8.5):7
=(9+ 40):7
=49 : 7
=7
c)1125:1123-35:(110+23)-60
= 112 - 243 : (1+8)-60
= 121 -243 : 9 - 60
= 121 - 27 - 60
= 34
d)520:(515.6+515.19)
= 520:(515.(6+19)
= 520 : 515 . 25
= 55.25
= 3125.25
=78125
e)718: 716+22.23
= 72+ 25
= 49 + 32
= 81
f) 59.73 - 302+27.59
= 59.(73+27)-302
= 59.100- 900
= 5900 - 900
= 5000
Trần Tuyết Tâm