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b; 36. 42 - 62.5 + 63 .62
= 36.42 - 36.5 + 63.36
= 36.(42 - 5 + 63)
= 36.100
= 3600
1) = 2750 - 1229 + 2570 + 438 + 29 + 438
= (2750 + 2750) - (1229 - 29) + (438 + 438)
= 5500 - 1200 + 876
= 5176
2) = 38.9 + 17.9 - 35.9 - 11.35
= (38+17-35).9 - 11.35
= 20.9 - 11.35
= 180 - 385
= -205
3) = 500 - \(\left\{5.\left[409-\left(24-21\right)^2\right]+1000\right\}\) : 15
= 500 - \(\left\{5.\left[409-9\right]+1000\right\}:15\)
= 500 - \(\left\{5.400+1000\right\}:15\)
= 500 - (2000 + 1000) : 15
= 500 - 200
= 300
1. Tính theo cách hợp lí:
\(2016.5^{2017}.\left(30.5^{2015}-5^{2016}\right)\)
\(=2016.5^{2017}.5^{2015}.\left(30-5\right)\)
\(=2016.5^{4032}.25\)
\(=2016.5^{4032}.5^2\)
\(=2016.5^{4034}\)
2. Tìm x:
\(4^{x+1}+4^0=65\)
\(\Leftrightarrow4^{x+1}+1=65\)
\(\Leftrightarrow4^{x+1}=65-1\)
\(\Leftrightarrow\left(2^2\right)^{x+1}=64\)
\(\Leftrightarrow2^{2x+2}=2^6\)
\(\Rightarrow2x+2=6\)
\(\Rightarrow2x=4\)
\(\Rightarrow x=2.\)
a. 3 . 62 . 8 + 2 .17 . 12 + 4 . 6 . 21
= 186 . 8 + 34 . 12 + 24 . 21
= 1488 + 408 + 504
= 1896 + 504
=2400
1.
a, 5.125.625
= 5.53.54
= 51+3+4 = 58
b, 10.100.1000 = 10.102.103 = 106
\(c,8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5=2^{12}.2^{20}.2^5=2^{37}\)
\(d,27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)
2,
a, \(12^7:6^7=\left(12:6\right)^7=2^7\)
\(b,27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^{15-12}=3^3\)
\(c,18^3:9^3=\left(18:9\right)^3=2^3\)
\(d,125^3:2=\frac{125^3}{2}\)
Phần d bài 2 nó kiểu gì ý
57 :
a , 5 . 25 . 125 = 5 . 52 . 53 = 51+2+3 = 56
b , 10 . 100 . 1000 = 10 . 102 . 103 = 101+2+3 = 106
c , 84 . 165 . 32 = ( 23 )4 . ( 24 )5 . 25 = 212 . 220 . 25 = 212+20+5 = 237
d , 274 . 8110 = ( 33 )4 . ( 34 )10 = 312 . 340 = 312+40 = 352
62 : a , 127 : 67 = ( 6 . 2 )7 : 67 = 67 . 27 : 67 = 67 : 67 . 27 = 1 . 27 = 27 = 128
b , 275 : 813 = ( 33 )5 : ( 34 )3 = 315 : 312 = 315-12 = 33 = 27
c , 183 : 93 = ( 2 . 9 )3 : 93 = 23 . 93 : 93 = 23 . 1 = 23 = 8
d , 1253 : 2 = ( 53 )3 : 2 = 59 : 2 = 1953125 : 2 = 976562,5
A, 89-(73-x)=20
73-x =89-20
73-x =69
x = 73-69
x = 4
B, 62-(2x-3):3 = 23
(2x-3):3 = 62-23
(2x-3):3 = 39
2x-3 = 39.3
2x-3 = 117
2x = 117+3
2x = 120
x = 120:2
x = 60
C, 4(x-3) = 72 - 110
4(x-3) = 49 - 1
4(x-3) = 48
x-3 = 48:4
x-3 = 12
x = 12+3
x = 15
D, 32 (x+4)-52= 5.22
9(x+4)-25 = 5.4
9(x+4)-25 = 20
9(x+4) = 20+25
9(x+4) = 45
x+4 = 45:9
x+4 = 5
x = 5-4
x = 1
(Làm có hơi dài dòng nhưng đầy đủ lắm)
a, 89-(73-x)=20 b. 62-( 2x -3): 3=23 c, 4(x-3) = 72-11o d, 32 (x+4)-52 = 5.22
(73-x)=89-20 (2x - 3 ):3 = 62-23 4(x-3)=49-1 32(x+4) - 52= 5.4=20
73-x = 69 (2x - 3): 3= 39 4(x-3) =48 32(x+4)-25 =20
x = 73-69 (2x - 3)= 39: 3 x-3 = 48 :8 32(x+4)=20+25=45
x = 4 2x -3 =13 x-3 = 6 9(x+4)=45
2x= 13 + 3 x=6+3 x+4=45:9
2x= 16 x= 9 x+4=5
x=16:2 x=5-4
x= 8 x=1
chỗ nào ko hiểu cứ hỏi mik nhé
1. Tính tổng:
B = 2 - 4 - 6 + 8 + 10 - 12 - 14 + 16 + ... + 2002 - 2004 - 2006 + 2008
=> ( 2 - 4 - 6 + 8 )+ (10 - 12 - 14 + 16) + ... + (2002 - 2004 - 2006 + 2008)
=> (-8+ 8) +(-16+ 16) +.........+ ( -2008+ 2008)(1)
=> 0+0+...........+0
=> 0
Ta thấy (1) đều là những số đối nên kết quả đường nhiên bằng 0
\(A=1+4+4^2+4^3+...+4^{99}\\ \Rightarrow4A=4+4^2+4^3+...+4^{100}\\ \Rightarrow3.A=4^{100}-1\\ \Rightarrow A=\dfrac{4^{100}-1}{3}< \dfrac{4^{100}}{3}=\dfrac{B}{3}\\ \Rightarrow A< \dfrac{B}{3}\)
a,
= ( 5016 + 912 ) . 37 : 13 : 14
= 5928 . 37 : 13 : 14
= 219336 : 13 : 14
= 16872 : 14
= 1205,142857
b, 22 . 3 : { 390 : [ 53 . 22 - ( 125 + 35 . 7 ) ] }
= 22 . 3 : { 390 : [ 53 . 22 - ( 125 + 245 ) ] }
= 22 . 3 : { 390 : [ 53 . 22 - 370 ] }
= 22 . 3 : { 390 : [ 125 . 4 - 370 ] }
= 22 . 3 : { 390 : [ 500 - 370 ] }
= 22 . 3 : { 390 : 130 }
= 22 . 3 : 3
= 4 . 3 : 3
= 4
a,
= ( 5016 + 912 ) . 37 : 13 : 14
= 5928 . 37 : 13 : 14
= 219336 : 13 : 14
= 16872 : 14
= 1205,142857
b, 22 . 3 : { 390 : [ 53 . 22 - ( 125 + 35 . 7 ) ] }
= 22 . 3 : { 390 : [ 53 . 22 - ( 125 + 245 ) ] }
= 22 . 3 : { 390 : [ 53 . 22 - 370 ] }
= 22 . 3 : { 390 : [ 125 . 4 - 370 ] }
= 22 . 3 : { 390 : [ 500 - 370 ] }
= 22 . 3 : { 390 : 130 }
= 22 . 3 : 3
= 4 . 3 : 3
= 4
`!`
\(a,\left[316-\left(5^2\cdot4+16\right)\right]:\left(-2\right)^3+10\\ =\left[316-\left(25\cdot4+16\right)\right]:\left(-8\right)+10\\ =\left[316-\left(100+16\right)\right]:\left(-8\right)+10\\ =\left(316-116\right):\left(-8\right)+10\\ =200:\left(-8\right)+10\\ =-25+10\\ =-15\)
\(b,-73\cdot21+73\cdot\left(-62\right)-17\cdot73\\ =73\cdot\left(-21\right)+73\cdot\left(-62\right)-17\cdot73\\ =\left[\left(-21\right)+\left(-62\right)-17\right]\cdot73\\ =-100\cdot73\\ =-7300\)