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\(2^3.2^4.2\)
\(=2^8\)
\(5^2.5^7.5^3\)
\(=5^{12}\)
\(3.3^5.3^7\)
\(=3^{13}\)
\(81.3^5\)
\(=3^4.3^5\)
\(=3^9\)
\(16.64\)
\(=4^2.4^3\)
\(=4^5\)
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1/
a. \(x^3-2=25\)
\(x^3=25+2\)
\(x^3=27\)
\(\Rightarrow x=3\)
b.\(\left(x-3\right)^2=25\)
\(\left(x-3\right)^2=5^2\)
\(\Rightarrow x-3=5\)
\(\Rightarrow x=8\)
1,a, x^3-2=25 b, (x-3)^2=25 c, x^3-x^2=55 d,[(8.x-12):4].3^7=3^10
x^3=27 (x-3)^2=5^2 không có giá trị x (8.x-12):4=3^3
x^3=3^3 x-3=5 8.x-12=108
x=3 x=8 8.x=120
x=15
2, a, \(7^6:7^4+3^4.3^2-3^7:3\) b, 1736-(21-16).32+6.7^2 c,56.17+17.44-4^3.5+6.(3^2-2)
=\(7^2+3^6-3^6\) =1736-5.32+6.49 =17.(56+44)-320+42
=\(49\) =1736-160+294 =17.10-278
=1736+134 =170-278
=1870 =-108
d, 3.10^2-[1200-(4^2-2.3)^3]
=300-[1200-(16-6)^3]
=300-(1200-10^3)
=300-(1200-1000)
=300-200
=100
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\(A=1+6+6^2+...+6^{100}\)
\(6A=6+6^2+6^3+...+6^{101}\)
\(6A-A=\left(6+6^2+...+6^{101}\right)-\left(1+6+...+6^{100}\right)\)
\(5A=6^{101}-1\)
\(A=\frac{6^{101}-1}{5}\)
Hoàn toàn tương tự với các câu b) c)
\(A=1+6+6^2+6^3+...+6^{100}\)
\(6A=6+6^2+6^3+6^4+...+6^{101}\)
\(6A-A=\left(6+6^2+6^3+6^4+...+6^{101}\right)-\left(1+6+6^2+...+6^{100}\right)\)
\(5A=6^{101}-1\)
\(A=\frac{6^{101}-1}{5}\)
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707 - 3( x + 34 ) = 407
=> 3( x + 81 ) = 300
=> x + 81 = 100
=> x = 19
127 + 3( x + 17 ) = ( 47 : 45 )2
=> 3( x + 17 ) = ( 42 )2 - 127
=> 3( x + 17 ) = 256 - 127
=> 3( x + 17 ) = 129
=> x + 17 43
=> x = 26
x - 6 - ( 48 - 24. 2 : 6 - 3 ) = 100
x - 6 - ( 48 - 2 - 3 ) = 100
x - 6 - 43 = 100
x - 49 = 100
x = 149
[ ( 6x - 39 ) : 3 ] . 28 = 5628
( 6x - 39 ) : 3 = 201
6x - 39 = 603
6x = 642
x = 107
Chúc em hok tốt
Study well
\(707-3.(x+3^4)=407\)
\(\Rightarrow\)\(707-3.(x+81)=407\)
\(\Rightarrow\)\(3.(x+81)=707-407\)
\(\Rightarrow\)\(3.\left(x+81\right)=300\)
\(\Rightarrow\)\(\left(x+81\right)=300:3\)
\(\Rightarrow\)\(\left(x+81\right)=100\)
\(\Rightarrow\) \(x=100-81\)
Xin lỗi vì tôi có việc bận nên tí nữa sẽ làm tiếp
\(\Rightarrow\) \(x=19\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Trl :
\(\frac{1}{9}.27^n=3^{n+2}\)
\(3^{-2}.\left(3^3\right)^n=3^{n+2}\)
\(3^{-2}.3^{3n}=3^{n+2}\)
\(\Rightarrow-2+3n=n+2\)
\(\Rightarrow3n=n+4\)
\(\Rightarrow2n=4\)\(\Rightarrow n=2\)
Hok tốt
Trl :
\(\frac{1}{9}3^4.3^n=3^7\)
\(3^{-2}.3^4.3^n=3^7\)
\(\Rightarrow-2+4+n=7\)
\(\Rightarrow2+n=7\)
\(\Rightarrow n=7-2\)
\(\Rightarrow n=5\)
Hok tốt !
![](https://rs.olm.vn/images/avt/0.png?1311)
bài 8
c) chứng minh \(\overline{aaa}⋮37\)
ta có: \(aaa=a\cdot111\)
\(=a\cdot37\cdot3⋮37\)
\(\Rightarrow aaa⋮37\)
k mk nha
k mk nha.
#mon
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a) 52 . x = 62 + 82
\(5^2\cdot x=36+64\)
\(5^2\cdot x=100\)
\(x=100\div5^2\)
\(x=100\div25\)
\(x=4\)
b) ( 22 + 42 ) . x + 24 . 5 . x = 102
\(\left(4+16\right)\cdot x+16\cdot5\cdot x=100\)
\(x\cdot\left(20+80\right)=100\)
\(x\cdot100=100\)
\(x=100\div100\)
\(x=1\)
c ) 24 . x = 26
\(x=2^6\div2^4\)
\(x=2^{6-4}\)
\(x=2^2\)
\(x=4\)
d) 33 . x + 23 . x = 102
\(x\cdot\left(23+27\right)=100\)
\(x\cdot50=100\)
\(x=100\div50\)
\(x=2\)
e) 78 . x = 710
\(x=7^{10}\div7^8\)
\(x=7^{10-8}\)
\(x=7^2\)
\(x=49\)
`7^3 .9+3^2 .7^4 -45.539`
`=7^3 .9+7^4. 9-49.11.9.5`
`=7^3 .9+7^4. 9-7^2. 9.55`
`=7^2. 9(7+7^2-55)`
`=49.9(49+7-55)`
`=49.9=441`
\(7^3.9+3^2.7^4-45.539\)
\(=7^2.7.9+9.7^2.7^2-9.5.49.11\)
\(=7^2.9.7+7^2.9.7^2-7^2.9.55\)
\(=7^2.9.\left(7+7^2-55\right)\)
\(=49.9.\left(7+49-55\right)\)
\(=441.1=441\)