a) 27⁵ : 81³ = (3³)⁵ : (3⁴)³ = 3¹⁵ : 3¹² = 3³ = 27

b) 125³ : 25 = (5³)³ : 5² = 5⁹ : 5² = 5⁷

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a) $125^3:25^4=(5^3)^3:(5^2)^4=5^9:5^8=5^1$

$16^4:4^2=(4^2)^4:4^2=4^8:4^2=4^6$

$27^8:9^4=(3^3)^8:(3^2)^4=3^{24}:3^8=3^{16}$

$125^5:25^3=(5^3)^5:(5^2)^3=5^{15}:5^6=5^9$

$4^{14}:5^{28}=(2^2)^{14}:5^{28}=2^{28}:5^{28}=(\dfrac{2}{5})^{28}$

b) $12^n:2^{2n}=12^n:(2^2)^n=12^n:4^n=3^n$

$64^4.16^5.4^{20}=(4^3)^4.(4^2)^5.4^{20}=4^{12}.4^{10}.4^{20}=4^{42}$

1, \(81\cdot27^3\cdot243^5=3^4\cdot3^9\cdot3^{25}=3^{38}\)

2,\(25^4\cdot125^3\cdot625^7=5^8\cdot5^9\cdot5^{28}=5^{45}\)

3,

\(16^3\cdot8^9\cdot64^5\cdot1024=2^{12}\cdot2^{27}\cdot2^{30}\cdot2^{10}=2^{79}\)

Ta có : 5²⁵.5^x+1=5²⁵

=> 5^x+1=5²⁵:5²⁵

=> 5^x+1=1

=> 5^x=\(\frac{1}{5}\)\(=\frac{1}{5^1}\)

=> 5^x=5^-1

=> x=-1

x=-1

1. \(12^7:6^7=\left(6.2\right)^7:6^7=6^7.2^7:6^7=2^7\)

2.\(18^3:9^3=\left(9.2\right)^3:9^3=9^3.2^3:9^3=2^3\)

3.\(27^5:81^3=\left(3^3\right)^5:\left(3^4\right)^3=3^{15}:3^{12}=3^3\)

4.\(125^5:25^4=\left(25^2\right)^5:25^4=25^{10}:25^4=25^6\)

Học tốt nha bạn!

a, 12⁷ : 6⁷ = (12 : 6)⁷ = 3⁷
b, 18³ : 9³ = (18 : 9)³ = 2³
c, 27⁵ : 81³ = (3³)⁵ : (3⁴)³ = 3¹⁵ : 3¹² = 3³
d, 125³ : 25⁴ = (5³)³ : (5²)⁴ = 5⁹ : 5⁸ = 5
@Ribi Shchi

12⁷:6⁷=128

18³:9³=8

27⁵:81³⁼²⁷

125³:25⁴=5

Tick mk nhé