a) 27⁴.9² = 3¹².3⁴ = 3¹⁶

b) 4³.8⁴ = 2⁶.2¹² = 2¹⁸

c) 16⁵.64² = 2²⁰.2¹² = 2³²

a,3⁷.27⁸.9^{15 = \(3^7.3^{24}.3^{30}=3^{61}\)}

b,16³.8¹⁷.64^{4=\(2^{12}.2^{51}.2^{24}=2^{87}\)}

a,3⁷.27⁸.9¹⁵  

= 3⁷ . (3 ²)⁸ . ( 3² )¹⁵ 

= 3³⁴

^{b tự làm}

a) 2¹⁹

b)3¹⁷

c)4²³

a) 2¹⁹

b)3¹⁷

c)4²³

a: \(2^6\cdot3^3=\left(2^2\cdot3\right)^3=12^3\)

b: \(6^4\cdot8^3=2^4\cdot3^4\cdot2^9=2^{13}\cdot3^4\)

c: \(16\cdot81=36^2\)

d: \(25^4\cdot2^8=100^4\)

B =  64³.4³.16 = (4³)³.4³.4² = 4⁹.4³.4² = 4¹⁴

C = 81²:(3².27) = (3⁴)²:(3².3³) = 3⁸:3².3³ = 3⁹

D = ( 8¹¹.3¹⁷ ) : ( 27¹⁰.9¹⁵ ) = (3⁴)¹¹.3¹⁷ : (3³)¹⁰.(3²)¹⁵ = 3⁴⁴.3¹⁷:3³⁰.3³⁰ = 3⁶¹

1) a) 4⁸.2²⁰ = (2²)⁸.2²⁰

= 2¹⁶.2²⁰ = 2³⁶

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9¹².27⁵.81³ = (3²)¹².(3³)⁵.(3⁴)⁴

= 3²⁴.3¹⁵.3¹⁶ = 3⁵⁵

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64³.4⁵.16² = (4³)³.4⁵.(4²)²

= 4⁹.4⁵.4⁴ = 4¹⁸

b) 25²⁰.125⁴ = (5²)²⁰.(5³)⁴

= 5⁴⁰.5¹² = 5⁵²

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x⁷.x³.x⁴ = x¹⁴

--------

3⁶.4⁶ = (3.4)⁶ = 12⁶

2) a) 2² = 4

2³ = 8

2⁴ = 16

2⁵ = 32

2⁶ = 64

2⁷ = 128

2⁸ = 256

2⁹ = 512

2¹⁰ = 1024

b) 3² = 9

3³ = 27

3⁴ = 81

3⁵ = 243

c) 4² = 16

4³ = 64

4⁴ = 256

d) 5² = 25

5³ = 125

5⁴ = 625

\(a,\left(-7\right).\left(-7\right).\left(-7\right).\left(-7\right)\)

\(=\left(-7\right)^4=2401\)

\(b,\left(-3\right).\left(-3\right).\left(-3\right).\left(-4\right).\left(-4\right).\left(-4\right)\)

\(=\left(-3\right)^3.\left(-4\right)^3=12^3\)

\(c,4.9.25\)

\(=9.\left(4.25\right)=900=30^2\)

\(d,8.\left(-3\right)^3.\left(-125\right)\)

\(=\left(-3\right)^3.\left[\left( -125\right).8\right]\)

\(=\left(-3\right)^3.\left(-1000\right)\)

\(=\left(-3\right)^3.\left(-10\right)^3\)

\(=30^3\)

1: 8=2^3

2: 25=5^2

3: 4=2^2

4: 49=7^2

5: 81=9^2

6: 36=6^2

7: 100=10^2

8: 121=11^2

9: 144=12^2

10: 169=13^2

11: 27=3^3

12: 125=5^3

13: 1000=10^3

14: 32=2^5

15: 243=3^5

16: 343=7^3

17: 216=6^3

18: 64=4^3

19: 225=15^2

20: 128=2^7

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