a 150-[ 70 - 3^2]

= 150-[70 -9]

=150-61

=89

a) 150 - [70 - (7 - 4)²]

= 150 - [70 - 3²]

= 150 - [70 - 9]

= 150 - 61

= 89.

b, 2 . 5² + 7² . 3⁴ - 7² . 3³

= 2 . 25 + 49 . 81 - 49 . 9

= 2 . 25 + [49 . (81 - 9)]

= 50 + [49 . (81 - 9)]

= 50 + [ 49 . 72]

= 50 + 3528

= 3578.

a, 150 - [ 70 - ( 7 - 4 ) mu2

= 150 - [ 70 - 3 mu2 ]

= 150 - [ 70 - 9 ]

= 150 - 6

= 114

7 × 3 mu x + 20 × 3 mu x = 3 mu 25

a) 128 + 43 + 72 + 57

= ( 128 + 72 ) + ( 43 + 57 )

= 200 + 100

= 300

b) 41 . 51 + 49 . 51

= 51 . ( 41 + 49 )

= 51 . 90

= 4590

= 

\(a,\) \(128+43+72+57\)

\(=\left(128+72\right)+\left(43+57\right)\)

\(=200+100\)

\(=300\)

\(b,\) \(41.51+49.51=51.\left(41+49\right)=51.90=4590\)

\(c,\) \(4^7:4^5=4^{7-5}=4^2=16\)

\(d,\) \(2.\left(5.4^2-18\right)\)

\(=2.\left(5.2^4-2.3^2\right)\)

\(=2.2.\left(5.2^3-3^2\right)\)

\(=4.\left(40-9\right)\)

\(=4.31=123\)

Bài 1:

a) \(8^5\cdot8^2=8^7\)

b) \(9^3\cdot3^2=\left(3^2\right)^3\cdot3^2=3^6\cdot3^2=3^8\)

c) \(2^7\cdot5^7=10^7\)

d) \(27^6:3^3=\left(3^3\right)^6:3^3=3^{18}:3^3=3^{15}\)

Bài 2:

a) \(x^6:x^3=125\)

\(\Rightarrow x^3=125\)

\(\Rightarrow x=5\)

b) \(x^{20}=x\)

\(\Rightarrow x^{20}-x=0\)

\(\Rightarrow x\left(x^{19}-1\right)=0\)

\(\Rightarrow\left[{}\begin{matrix}x=0\\x^{19}-1=0\Rightarrow x=1\end{matrix}\right.\)

c) \(3^x\cdot3=243\)

\(\Rightarrow3^x=81\)

\(\Rightarrow x=4\)

d) \(2x-138=2^3\cdot3^2\)

\(\Rightarrow2x-138=72\)

\(\Rightarrow2x=200\)

\(\Rightarrow x=100\)

Giải:

Bài 1:

a) \(8^5.8^2=8^{5+2}=8^7\)

b) \(9^3.3^2=3^6.3^2=3^{6+2}=3^8\)

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

d) \(27^6:3^3=3^{18}:3^3=3^{18-3}=3^{15}\)

Bài 2:

a) \(x^6:x^3=x^{6-3}=x^3=125\)

\(\Leftrightarrow x=5\)

b) \(x^{20}=x\)

\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=1\end{matrix}\right.\)

c) \(3^x.3=243\)

\(\Leftrightarrow3^{x+1}=243\)

\(\Leftrightarrow3^{x+1}=3^5\)

\(\Leftrightarrow x+1=5\Leftrightarrow x=4\)

d) \(2.x-138=2^3.3^2\)

\(\Leftrightarrow2.x-138=8.9\)

\(\Leftrightarrow2.x-138=72\)

\(\Leftrightarrow2.x=72+138\)

\(\Leftrightarrow2.x=210\Leftrightarrow x=105\)

Chúc bạn học tốt!

a)=-3/7

=-3/5

b)=625

=343

=3125

=49

c)=4

=243x5=1215

=16x81x25=32400

4 . 5 mu 2 -3 .2 mu 3

7 × 3 mu x + 20 × 3 mu x = 3 mu 25

Bài 1 :

a) (2x + 1)³ = 125

=> (2x + 1)³ = 5³

=> 2x + 1 = 5

=> 2x = 5 - 1

=> 2x = 4

=> x = 2

b) (x - 5)⁴ = (x - 5)⁶

Với hai mũ khác nhau , ta chỉ có thể tìm được giá trị biểu thức bằng 1 hoặc 0 (giá trị của chúng bằng nhau)

+) (x - 5)⁴ = (x - 5)⁶ = 0

=> (x - 5)⁴ = 0

=> (x - 5)⁴ = 0⁴

=> x - 5 = 0 => x = 0 + 5 = 5

+) (x - 5)⁴ = (x- 5)⁶ = 1

=> (x - 5)⁴ = 1

=> (x - 5)⁴ = 1⁴

=> x - 5 = 1

=> x = 1 + 5

=> x = 6

Bài 4 :

a³ . a⁹ = a^{3 + 9} = a¹²

(a⁵)⁷.(a⁶)⁴ .a¹² = a³⁵ . a²⁴ . a¹² = a^{35 + 24 + 12} = a⁷¹

4.5² - 2.3² = 4.25 - 2.9

= 100 - 18

= 82

mong cac ban giup, minh can gap lam,tuy minh trinh bay hoi xau nhung mong cac ban giup