\(A=8^2\cdot324=8^2\cdot18^2=144^2=\left(12^2\right)^2=12^4\)

\(B=27^3\cdot9^4\cdot243=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)

\(C=6^2\cdot36^4\cdot216^2=6^2\cdot\left(6^2\right)^4\cdot\left(6^3\right)^2=6^2\cdot6^8\cdot6^6=6^{16}\)

\(D=3^4\cdot81^2\cdot9^5=3^4\cdot\left(3^4\right)^2\cdot\left(3^2\right)^5=3^4\cdot3^8\cdot3^{10}=3^{22}\)

GẤP Ạ!!!!!!!!!!!!

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) 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) 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!

\(B=27^3.9^4.243\)

\(=\left(3^3\right)^3.\left(3^2\right)^4.3^5\)

\(=3^9.3^8.3^5\)

\(=3^{22}\)

Thank !

a: \(A=\left(2^3\right)^2\cdot\left(2^5\right)^4=2^6\cdot2^{20}=2^{26}\)

b: \(=\left(3^3\right)^3\cdot\left(3^2\right)^4\cdot3^5=3^9\cdot3^8\cdot3^5=3^{22}\)

\(A=8^2.32^4=\left(2^3\right)^2.\left(2^5\right)^4=2^6.2^{20}=2^{26}\)

\(B=27^3.9^4.243=\left(3^3\right)^3.\left(3^2\right)^4.3^5=3^9.3^8.3^5=3^{22}\)

Bài 1: 

a) \(4^8\cdot2^{20}=\left(2^2\right)^8\cdot2^{20}=2^{36}\)

 \(64^3\cdot4^5=\left(2^6\right)^3\cdot\left(2^2\right)^5=2^{18}\cdot2^{10}=2^{28}\)

\(y\cdot y^7=y^{1+7}=y^8\)

\(a^n\cdot a^2=a^{n+2}\)

Bài 1:

b) \(10^8:2^8=5^8\)

\(17^8:17^5=17^3\)

\(2^{25}:32^4=2^{25}:2^{20}=2^5\)

\(19^4:9^4=\left(\dfrac{19}{9}\right)^4\)

Bài 2: 

a) Ta có: \(2^x\cdot4=128\)

nên \(2^x=32\)

hay x=5

b) Ta có: \(3^x=81\)

nên \(3^x=3^4\)

hay x=4

Viết kết quả dưới dạng lũy thừa :

5.125.625

Toán lớp 6

5 mũ 8 h nha

               \(5.125.625\)

         \(=5.5^3.5^4\)

          \(=5^8\)

tíc mình nha