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a. 73
b. 7.35.7.25 = 7 . 5 . 7 . 7 . 5 . 5 = 73 . 53
c. 2.3.8.12.24 = 2.3.2.2.2.2.2.3.2.2.2.3 = 29 . 33
d. 12.12.2.12.6 = 3.2.2.3.2.2.2.3.2.2.2.3 = 34 . 29
e. 25.5.4.2.10 = 5.5.5.2.2.2.5.2 = 54 . 24
f. 2.10.10.3.5.10 = 2.2.5.2.5.3.5.2.5 = 24 . 54 . 3
g. a.a.a+b.b.b.b = a3 + b3
h. x.x.y.y.x.y.x = x4 . y3
a.\(7^3\)
b.\(7^3\cdot5^3\)
c.\(2^9\cdot3^3\)
d.\(2^8\cdot3^4\)
e.\(2^4\cdot5^4\)
f.\(2^4\cdot3\cdot5^4\)
g.\(a^3+b^4\)
h.\(x^4\cdot y^3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
7.7.7 = 7^3
7.35.7.25 = 7^2*35^2
2.3.8.12.24=2*3*2*2*2*3*2*2*2*2*2*3 = 2^9*3^3
x.x.y.y.x.y.x = x^3*y^3
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`@` `\text {Ans}`
`\downarrow`
\(7\cdot35\cdot7\cdot25\)
`=`\(7^2\cdot7\cdot5\cdot5^2\)
`=`\(7^3\cdot5^3=\left(7\cdot5\right)^3=35^3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Ta có:
12 . 12 . 12 . 2. 6 = 12 . 12 . 12 . 12 = 124
25 . 5 . 4 . 2 . 10 = 25 . 4 . 2 . 10 . 5 = 100 . 100 = 1002
2. 10 . 10 . 3 . 5. 10 = 10 . 10 . 10 . 2 . 5 . 3 = 10 . 10 . 10 . 10 . 3 = 104 . 3
a,12.12.2.12.6=12.12.12.(2.6)=12.12.12.12=124
b,25.5.4.2.10=(25.4)(5.2.10)=100.100=1002
c,2.10.10.3.5.10=10.10.10.2.5.3=10.10.10.10.3=104.3
![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
1) \(12\cdot12\cdot2\cdot12\cdot6=12\cdot12\cdot12\cdot12=12^4\)
2) \(25\cdot5\cdot4\cdot2\cdot10=\left(25\cdot4\right)\cdot\left(5\cdot2\cdot10\right)=100\cdot100=100^2=10^4\)
3) \(2\cdot10\cdot10\cdot3\cdot5\cdot10=3\cdot10\cdot10\cdot10\cdot10=3\cdot10^4\)
4) \(a\cdot a\cdot a+b\cdot b\cdot b\cdot b=a^3+b^4\)
Viết gọn các biểu thức sau bằng cách dùng lũy thừa
1) 12.12.2.12.6
=> 12 . 12 . 12 . (2 . 6)
= 12 . 12 . 12 . 12 . 12 = 125
2) 25.5.4.2.10
=> ( 25 . 4 ) . ( 2 . 5 . 10 )
= 100 . 100 = 1002
3) 2.10.10.3.5.10
=> ( 2 . 5 ) . 10 . 10 . 10 . 3
= 10 . 10 . 10 . 10 . 3 = 104 . 3
4) a.a.a cộng b.b.b.b
=> a3 + b4
![](https://rs.olm.vn/images/avt/0.png?1311)
`10.1000.100000`
`=10^{1}.10^{3}.10^{5}`
`=10^{1+3+5}`
`=10^{9}`
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 2.2.4.4 = 2 . 2 . 2 2 . 2 2 = 2 1 + 1 + 2 + 2 = 2 6
b, 10.1000.100000 = 10 . 10 3 . 10 5 = 10 1 + 3 + 5 = 10 9
c, 4 5 . 2 7 = 2 2 . 2 7 = 2 2 . 5 . 2 7 = 2 10 . 2 7 = 2 10 + 7 = 2 7
d, 3 3 . 18 - 3 3 . 15 = 3 3 ( 18 - 15 ) = 3 3 . 3 = 3 3 + 1 = 3 4
e, 6 3 . 36 = 6 3 . 6 2 = 6 3 + 2 = 6 5
f, 49 3 . 7 4 = 7 2 3 . 7 4 = 7 2 . 3 . 7 4 = 7 6 . 7 4 = 7 6 + 4 = 7 10
g, a 9 . a 7 = a 9 + 7 = a 16
h, a . b 6 . b 6 = a 6 . b 6 . b 6 = a 6 . b 6 . b 6 = a 6 . b 6 + 6 = a 6 . b 12
![](https://rs.olm.vn/images/avt/0.png?1311)