\(a,5^{2x-3}-2.5^2=5^2.3\)

\(5^{2x-3}-2.5^2=25.3\)

\(5^{2x-3}-2.25=75\)

\(5^{2x-3}-50=75\)

\(5^{2x-3}=75+50\)

\(5^{2x-3}=125\)

\(5^{2x-3}=5^3\)

\(5^{2x}=5^{3+3}\)

\(5^{2x}=5^6\)

\(x=6\div2\)

\(x=3\)

5^2x-3-  2 . 5²= 5². 3

5^{2x - 3}-  2 . 5²= 25 . 3 = 75

2 . 5²= 2 . 25 = 50

5^{2x - 3}= 75 - 50 = 25

vì 25 = 5² vậy 5^{2x - 3}=  5²

suy ra 2x - 3 = 2

2x = 2 + 3 = 5

x = 5 : 2 = 2,5

3 mũ mấy bạn ?

( n - 2 )² = 49

( n - 2 )² = 7²

n - 2 = 7

n = 9

(n - 2)² = 49

(n - 2)² = 7²

n - 2 = 7

n = 7 + 2

n = 9

Chúc bạn học tốt. 

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Giúp mình với mấy bạn mình gấp lắm rồi

(x - 1)² = 30

<=> x² - 2.x.1 + 1² = 30

<=> x² - 2x + 1 = 30

<=> x² - 2x = 30 - 1 = 29

<=> x² - x = 29 + 2 = 31

<=> x = 31

a: \(=27\left(79+25-4\right)=2700\)

b: \(=6-1=5\)

c: \(=\left(7^5+7^9\right)\left(5^4+5^6\right)\left(81-81\right)=0\)

a)27.79+25.27-4.3 mũ 3  

=27.79+25.27-4. 27

=27.(79+25-4)

=27.100

=2700

2³ . 2² . 8³ = 2³ . 2² . (2³)³ = 2³ . 2² . 2⁹ = 2³⁺²⁺⁹ = 2¹⁴

a) 2.2³.2⁵ = 2⁹ = 512

b) 5³ : 5² : 5 = 5 : 5 = 1

c) 81 : 3² = 81 : 9 = 9

a) 2.2³.2⁵ = 2⁹ = 512

b) 5³ : 5² : 5 = 5 : 5 = 1

c) 81 : 3² = 81 : 9 = 9

a) \(3^5.4^5=\left(3.4\right)^5=12^5\)

b) \(8^5.2^3=\left(2^3\right)^5.2^3=2^{15}.2^3=2^{18}\)

c) \(2^7.5^7=\left(2.5\right)^7=10^7\)

d) \(4^{10}.8^{15}=\left(2^2\right)^{10}.\left(2^3\right)^{15}=2^{20}.2^{45}=2^{65}\)

e) \(4^{15}.5^{30}=4^{15}.\left(5^2\right)^{15}=4^{15}.25^{15}=\left(4.25\right)^{15}=100^{15}\)

f) \(9^{12}.3^5=\left(3^2\right)^{12}.3^5=3^{24}.3^5=3^{29}\)

a) 3⁵ . 4⁵ = (3.4)⁵ = 12⁵

b) 8⁵ . 2³ = (2³)⁵ . 2³ = 2¹⁵ . 2³ = 2¹⁸

c) 2⁷ . 5⁷ = (2.5)⁷ = 10⁷

d) 4¹⁰ . 8¹⁵ = (2²)¹⁰ . (2³)¹⁵ = 2²⁰ . 2⁴⁵ = 2⁶⁵

e) 4¹⁵ . 5³⁰ = 4¹⁵ . (5²)¹⁵ = 4¹⁵ . 25¹⁵ = (4.25)¹⁵ = 100¹⁵

f) 9¹² . 3⁵ = (3²)¹² . 3⁵ = 3²⁴ . 3⁵ = 3²⁹

( 12 - 2x ) ³ =64

( 12 - 2x ) ³ = 4³

=> 12 - 2x= 4

=> 2x= 12-4

=> 2x= 8

=> x= 4

Vậy x=4

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