a) ( -2x - 28 )⁵ = -32 = ( -2 )⁵

-2x - 28 = -2

-2x = ( -2 ) + 28 = 26

x = 26 : ( -2 ) = -13

b) ( 7x - 11 )³ = 1000 = 10³

7x - 11 = 10

7x = 10 + 11 = 21

x = 21 : 7 = 3

c) ( 3x - 15 )² - 6 = 75

( 3x - 15 )² = 75 + 6 = 81 = 9²

3x - 15 = 9

3x = 9 + 15 = 24

x = 24 : 3 = 8

X=0 

Vì 2 mũ 5 = 32

2 mũ 2 = 4

Suy ra 2 mũ 5 + 2 mũ 2 +200 = 32+4+200=236

* ước của 236 = (1;2;4;59;118;236)

* Mà chỉ có 59+11=70 có chữ số đầu tiên là 7 

ĐÚNG THÌ TICK CHO MÌNH NHA

Bài 1 Viết dưới dạng 1 luỹ thừa

27² . 3² = (27.3)² = 81²

1. 27 mũ 2 . 3 mũ 2 = 81 mũ 2

2. 

[ 7x - 11 ] mũ 3 = 1000

[ 7x - 11 ] mũ 3 = 10 mũ 3

7x-11 = 10

7x = 10 + 11

7x = 21

x= 21 : 7 

x= 3

Ta có: \(\left(7x-11\right)^3=2^5+5^2+200=1000\)

\(\Rightarrow\left(7x-11\right)^3=10^3\)

\(\Rightarrow7x-11=10\)

\(\Rightarrow7x=21\)

\(\Rightarrow x=3\)

Trả lời:

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\Leftrightarrow\left(7x-11\right)^3=32.25+200\)

\(\Leftrightarrow\left(7x-11\right)^3=800+200\)

\(\Leftrightarrow\left(7x-11\right)^3=1000\)

\(\Leftrightarrow7x-11=10\)

\(\Leftrightarrow7x=21\)

\(\Leftrightarrow x=3\)

Vậy\(x=3\)

Hok tốt!

Good girl

\(\left(7\text{x}-11\right)^3=2^5\text{ }.\text{ }5^2+200.\)

\(\left(7\text{x}-11\right)^3=32\text{ }.\text{ }25+200.\)

\(\left(7\text{x}-11\right)^3=800+200.\)

\(\left(7\text{x}-11\right)^3=1000.\)

\(\left(7\text{x}-11\right)^3=10^3.\)

\(\Rightarrow\text{ }\text{7x}-11=10.\)

\(\text{7x}=10+11\)

\(\text{7x}=21\)

\(x=21\div7\)

\(x=3\)

Vậy \(x=3\)

( 7x - 11 )³ = 32 . 25 + 200

( 7x - 11 )³ = 800 + 200

( 7x - 11 )³ = 1000

( 7x - 11 )³ = 10³

=> 7x - 11 = 10

7x = 10 + 11

7x = 21

x = 21 : 7

x = 3

=>(7x-11)^3=800+200=1000=10^3

=>7x-11=10

=>7x=21=>x=3

 Vậy x=3

\(\left(7x-11\right)^3=2^5.5^2+200\)

\(\left(7x-11\right)^3=800+200\)

\(\left(7x-11\right)^3=1000\)

\(\left(7x-11\right)^3=10^3\)

\(\left(7x-11\right)=10\)

\(7x=21\)

\(x=3\)

(7x-11)^3  = 2^5.5^2+200

(7x-11)^3 = 1000

(7x-11)^3 = 10^3

7x-11 = 10

7x = 10+11

7x = 21

x = 21:7

x = 3