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

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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

3)

a) 4⁹ : 4⁴ = 4⁵

17⁸ : 17⁵ = 17³

2¹⁰ : 8² = 2¹⁰ : (2³)² = 2¹⁰ : 2⁶ = 2⁴

18¹⁰ : 3¹⁰ = (18 : 3)¹⁰ = 6¹⁰

27⁵ : 81³ = (3³)⁵ : (3⁴)³ = 3¹⁵ : 3¹² = 3³

b) 10⁶ : 100 = 10⁶ : 10² = 10⁴

5⁹ : 25³ = 5⁹ : (5²)³ = 5⁹ : 5⁶ = 5³

4¹⁰ : 64³ = 4¹⁰ : (4³)³ = 4¹⁰ : 4⁹ = 4

2²⁵ : 32⁴ = 2²⁵ : (2⁵)⁴ = 2²⁵ : 2²⁰ = 2⁵

18⁴ : 9⁴ = (18 : 9)⁴ = 2⁴

2:

a: n=5^4

=>n=625

b: n^3=125

=>n^3=5^3

=>n=5

c: 11^n=1331

=>11^n=11^3

=>n=3

a)2⁸ 

b)5¹²

c)6⁸

d)a¹⁶

a) 2⁸

b) 5¹²

c) 6⁸

d) a¹⁶

1.
a) \(3^4\times3^5\times3^6=3^{4+5+6}=3^{15}\)

b) \(5^2\times5^4\times5^5\times25=5^2\times5^4\times5^5\times5^2=5^{2+4+5+2}=5^{13}\)

c) \(10^8\div10^3=10^{8-3}=10^5\)

d) \(a^7\div a^2=a^{7-2}=a^5\)

2.

\(987=900+80+7\\ =9\times100+8\times10+7\\ =9\times10^2+8\times10^1+7\times10^0\)

\(2021=2000+20+1\\ =2\times1000+2\times10+1\times1\\ =2\times10^3+2\times10^1+1\times10^0\)

\(abcde=a\times10000+b\times1000+c\times100+d\times10+e\times1\\ =a\times10^4+b\times10^3+c\times10^2+d\times10^1+e\times10^0\)

còn bài 2

a)=(-5)⁶=5⁶

b)=(-6)³.(-7)³=[(-6)(-7)]³=42³

c)=(-3).(-3)⁴.(-7)³(-7)².(-2).(-2)⁴

  =(-3)⁵.(-7)⁵.(-2)⁵

  =[(-3)(-7)(-2)]⁵

  =(-42)⁵

a,(-5)^6=5^6

b,(-6)^3.(-7)^3

c,tg tu

a) -5⁶

b) -6³. (-7)³

c) -3 . -3⁴ . (-7)³.(-7)².(-2) . (-2)⁴

= -3⁵ . (-7)⁵ . (-2)⁵

a) 2⁵ . 8⁴ = 2⁵ . (2³)⁴ = 2⁵ . 2¹² = 2¹⁷

b) 25⁶ . 125³ = (5²)⁶ . (5³)³ = 5^12 _. 5⁹ = 5²¹

c) 625⁵ : 25⁷ = (25²)⁵ : 25⁷ = 25¹⁰ : 25⁷ = 25³

d) 12³ . 3³ = (12 . 3)³ = 36³

36³ m nha

a) \(2^5.8^4=2^5.\left(2^3\right)^4=2^5.2^{12}=2^{5+12}=5^{17}\)

b) \(25^6.125^3=\left(5^2\right)^6.\left(5^3\right)^3=5^{12}.5^9=5^{12+9}=5^{21}\)

c) \(625^5:25^7=\left(5^4\right)^7:\left(5^2\right)^7=5^{28}:5^{14}=5^{28-14}=5^{14}\)

d) \(12^3.3^3=\left(12.3\right)^3=36^3\)

Dấu chấm là nhân nhé

minh anh sai rồi câu a là 2 mũ 17 mà ghi là 5 mũ 17

1) 

g) \(24+5x\text{=}7^5:7^3\)

\(24+5x\text{=}7^{5-3}\)

\(24+5x\text{=}7^2\text{=}49\)

\(5x\text{=}49-24\text{=}25\)

\(x\text{=}5\)

h) \(x:2^2\text{=}2^3\)

\(x\text{=}2^3.2^2\)

\(x\text{=}2^5\text{=}32\)

2) 

a) \(2^{10}.8.2^3\text{=}2^{10}.2^3.2^3\text{=}2^{10+3+3}\text{=}2^{16}\)

\(b)3^5:27\text{=}3^5:3^3\text{=}3^{5-3}\text{=}3^2\)

\(c)5^2.125\text{=}5^2.5^3\text{=}5^{2+3}\text{=}5^5\)

\(d)6^6:36\text{=}6^6:6^2\text{=}6^{6-2}\text{=}6^4\)

1.

g) \(24+5x=7^5:7^3\left(=7^{5-3}\right)\) -> Trong ngoặc ko cần viết nha

\(24+5x=7^2=49\)

\(5x=49-24\)

\(5x=25\)

\(x=25:5\)

\(=>x=5\)

h) \(x:2^2=2^3\)

\(x=2^3.2^2\)

\(=>x=2^5\)

2.

a) \(2^{10}.8.2^3=2^{10}.\left(2^3\right)2^3=2^{10+3+3}=2^{16}\)

b) \(3^5:27=3^5:\left(3^3\right)=3^{5-3}=3^2\)

c) \(5^2.125=5^2.\left(5^3\right)=5^{2+3}=5^5\)

d) \(6^6:36=6^6:\left(6^2\right)=6^{6-2}=6^4\)

Công thức:

\(a^m.a^n=a^{m+n}\)

\(a^m:a^n=a^{m-n}\)

\(#Wendy.Dang\)

Giúp mik vs ạ