a) A = 5.125 .625 = 5.5³. 5⁴ = 5⁸

b) B = 10.100.1000 = 10.10².10³ = 10⁶

c) C = 8⁴.16⁵.32 = 2¹².2²⁰.2⁵ = 2³⁷

d) 27⁴.81¹⁰ = 3¹².3⁴⁰ = 3⁵²

a) A = 5.125 .625 = 5.5³. 5⁴ = 5⁸

b) B = 10.100.1000 = 10.10².10³ = 10⁶

c) C = 8⁴.16⁵.32 = 2¹².2²⁰.2⁵ = 2³⁷

d) 27⁴.81¹⁰ = 3¹².3⁴⁰ = 3⁵²

Chúc bn học tốt!

a) 5.125.625 = 5.5³.5⁴ = 5^{1 + 3 + 4} = 5⁸                c) 8⁴.16⁵.32 = (2³)⁴.(2⁴)⁵.2⁵ = 2^3.4.2^4.5.2⁵ = 2^{3.4 + 4.5 + 5} = 2^{12 + 20 + 5} = 2³⁷

b) 10.100.1000 = 10.10².10³ = 10^{1 + 2 + 3} = 10⁶    d) 27⁴.81¹⁰ = (3³)⁴.(3⁴)¹⁰ = 3^3.4.3^4.10 = 3^{3.4 + 4.10} = 3^{12 + 40} = 3⁵²

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a) 5.125.625 = 5.5³.5⁴ = 5^{1 + 3 + 4} = 5⁸

b) 10.100.1000 = 10.10².10³ = 10^{1 + 2 + 3} = 10⁶ 

 c) 8⁴.16⁵.32 = (2³)⁴.(2⁴)⁵.2⁵ = 2^3.4.2^4.5.2⁵ = 2^{3.4 + 4.5 + 5} = 2^{12 + 20 + 5} = 2³⁷

d) 27⁴.81¹⁰ = (3³)⁴.(3⁴)¹⁰ = 3^3.4.3^4.10 = 3^{3.4 + 4.10} = 3^{12 + 40} = 3⁵²

Viết các tích sau dưới dạng lũy thừa:

\(a)\) \(5.125.625=5.5^3.5^4=5^8\)

\(b)\)\(10.100.1000=10.10^2.10^3=10^6\)

\(c)\)\(8^4.16^5.32=\left(2^3\right)^4.\left(2^4\right)^5.2^5=2^{12}.2^{20}.2^5=2^{37}\)

\(d)\)\(27^4.81^{10}=\left(3^3\right)^4.\left(3^4\right)^{10}=3^{12}.3^{40}=3^{52}\)

a) 5 . 125 . 625=5.5.5.5.5.5.5.5=5⁸  ; b) 10 . 100 . 1000000=10.10.10.10.10.10.10.10-.10=10⁹

c) 8⁴ . 16⁵ . 32 =(2³)⁴.(2⁴)⁵=2¹².2²⁰=2³²  ; d) 27⁴ . 81¹⁰=(3³)⁴.(³⁴)¹⁰=3¹².3⁴⁰=3⁵²

a) 8².32⁴ = (2³)².(2⁵)⁴ = 2⁶ . 2²⁰ = 2²⁶

b) 27³.9⁴.243 = (3³)³.(3²)⁴.3⁵ = 3⁹.3⁸.3⁵ = 3²²

c)5.125.625 = 5.5³.5⁴ = 5⁸

d)10.100.1000 = 10.10².10³ = 10⁶

e)8⁴.16⁵.32=(2³)⁴.(2⁴)⁵.2⁵ = 2¹².2²⁰.2⁵ = 2³⁷

f)27⁴.81¹⁰=(3³)⁴.(3⁴)¹⁰=3¹².3⁴⁰=3⁵²

a) 8².32⁴ = (2³)².(2⁵)⁴ = 2⁶ . 2²⁰ = 2²⁶

b) 27³.9⁴.243 = (3³)³.(3²)⁴.3⁵ = 3⁹.3⁸.3⁵ = 3²²

c)5.125.625 = 5.5³.5⁴ = 5⁸

d)10.100.1000 = 10.10².10³ = 10⁶

e)8⁴.16⁵.32=(2³)⁴.(2⁴)⁵.2⁵ = 2¹².2²⁰.2⁵ = 2³⁷

f)27⁴.81¹⁰=(3³)⁴.(3⁴)¹⁰=3¹².3⁴⁰=3⁵²

a) 8 = 2³

42⁵ = 2⁵.3⁵.7⁵

16 = 2⁴

b) (0,09)³ = (3/10)⁶

(3/10)⁸ = (3/10)⁸

0,027 = (3/10)³

`@` `\text {Ans}`

`\downarrow`

`a)`

`8 = 2^3`

`32^5` chứ ạ?

`32^5 = (2^5)^5 = 2^10`

`16 = 2^4`

`b)`

`(0,09)^3 = (0,3^2)^3 = 0,3^6` hay `(3/10)^6`

`(3/10)^8 = (3/10)^8`

`(0,027) = (0,3)^3` hay `(3/10)^3`

`@` `\text {Kaizuu lv uuu}`

1)Đưa về lũy thừa cùng cơ số 2

8²=  \(\left(2^3\right)^2=2^6\)        32³= \(\left(2^5\right)^3=2^{15}\)          64⁴= \(\left(2^6\right)^4=2^{24}\)       4³= \(\left(2^2\right)^{^3}=2^6\)

2)Đưa về lũy thừa cùng cơ số 3

9³= \(\left(3^2\right)^3=3^6\)       27⁴=  \(\left(3^3\right)^4=3^{12}\)      9⁵= \(\left(3^2\right)^5=3^{10}\)      81⁶=   \(\left(3^4\right)^6=3^{24}\)

3)Đưa về lũy thừa cùng cơ số 2

 8³:4²= \(\left(2^3\right)^3:\left(2^2\right)^2=2^9:2^4=2^5\)    16²:32= \(\left(2^4\right)^2:2^5=2^8:2^5=2^3\)    

\(64^4:4^3=\left(2^6\right)^4:\left(2^2\right)^3=2^{24}:2^6=2^{18}\)    32³:8²= \(\left(2^5\right)^3:\left(2^3\right)^2=2^{15}:2^6=2^9\)

Bạn giải nốt hộ mình câu 4,,5,6 mình cảm ơn nhìu

4)Đưa về lũy thừa cùng cơ số 3

27⁴:9³=\(\left(3^3\right)^4:\left(3^2\right)^3=3^{12}:3^6=3^6\)    81^6:9⁵=  \(\left(3^4\right)^6:\left(3^2\right)^5=3^{24}:3^{10}=3^{14}\)   

9⁶ .27⁴:81⁵=\(\left(3^2\right)^6.\left(3^3\right)^4:\left(3^4\right)^5=3^{12}.3^{12}:3^{20}=3^4\)

5)Đưa về lũy thừa cùng cơ số 5

25⁷=  \(\left(5^2\right)^7=5^{14}\)    125³=  \(\left(5^3\right)^3=5^9\)   25⁷:5⁶=  \(\left(5^2\right)^7:5^6=5^{14}:5^6=5^8\)

125⁶:25⁷= \(\left(5^3\right)^6:\left(5^2\right)^7=5^{18}:5^{14}=5^4\)

6)Đưa về lũy thừa cùng cơ số 4

16²= \(\left(4^2\right)^2=4^4\)     64³=\(\left(4^3\right)^3=4^9\)      (128:2)³=\(64^3=\left(4^3\right)^3=4^9\)     2².2²=\(4.4=4^2\)

a. \(3^4\)

b. \(9^2\)

c. \(2^6\)

d. \(10^8\)

b. 

c. 

d. 

a.