a, 4¹⁰. 2³⁰=2²⁰.2³⁰=2⁵⁰

b,9²⁵.27⁴.81³= 3⁵⁰.3¹².3¹²=3⁷⁴

Tương tự các câu khác....

a, 4¹⁰.2³⁰ = (2²)¹⁰.2³⁰ = 2²⁰.2³⁰ = 2⁵⁰
b, 9²⁵.27⁴.81³ = (3²)²⁵.(3³)⁴.(3⁴)³ = 3⁵⁰.3¹².3¹² = 3⁷⁴
c, 25⁵⁰.125⁵ = (5²)⁵⁰.(5³)⁵ = 5¹⁰⁰.5¹⁵ = 5¹¹⁵
d, 64³.4⁸.16⁴ = (2⁶)³.(2²)⁸.(2⁴)⁴ = 2¹⁸.2¹⁶.2¹⁶ = 2⁵⁰
e, 3⁸ : 3⁶ = 3²
2¹⁰ : 8³ = 2¹⁰ : (2³)³ = 2¹⁰ : 2⁹ = 2
12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷
@Dương Tuyết Mai

ta có: \(\frac{3^{18}.32^9}{64^7.27^6}=\frac{3^{3.6}.\left(2^5\right)^9}{\left(2^6\right)^7.27^6}=\frac{27^6.2^{45}}{2^{42}.27^6}=\frac{2^{45}}{2^{42}}=2^3=8\)

\(1,4\sqrt{5}-5\sqrt{2}+12\sqrt{5}-8\sqrt{5}=8\sqrt{5}-5\sqrt{2}\)

\(2,\left(\sqrt{27}+\sqrt{32}-\sqrt{50}\right)\left(\sqrt{27}-\sqrt{32}+\sqrt{50}\right)\)

\(=27-\left(\sqrt{32}-\sqrt{50}\right)^2=27-2=25\)

a) 135 . (-27) + 27 . 235

= 27 . (235 - 135)

= 27 . 100

= 2700

b) 36 . (-125) - 125 . (-46)

= 125 . (-36 + 46)

= 125 . 10

= 1250

c) 32 . (-64) - 64 . 68

= 64.(-32 - 68)

= 64.(-100)

= -6400

d) (145 - 45) . (-31) + 31 . (-100)

= 100 . (-31) + 31.(-100)

= 100.(-31 - 31)

= 100.(-62)

= -6200

a)

=(-135)x27+27x235

=27x[+(235+135)]

=27x31725

=856575

b)

=(-36)x125-125x(-46)

=125x[-(36+46)]

=125x(-1656)

=-207000

c)

=(-32)x64-64x68

=64x[-(68-32)]

=64x(-36)

=-(64x36)

=-2304

d)

=100x(-31)+31x(-100)

=(-100)x31+31x(-100)

=31x[-(100+100)]

=31x(-200)

=-(31x200)

=-6200

chúc học tốt nhớ tích cho tui nha

nếu tui đúng chứ tui cũng hông có chắc nữa

Bài 3:

a: Ta có: \(23\left(42-x\right)=23\)

\(\Leftrightarrow42-x=1\)

hay x=41

b: Ta có: 15(x-3)=30

nên x-3=2

hay x=5

Bài 1: 

a: 32+89+68=100+89=189

b: 64+112+236=300+112=412

c: \(1350+360+650+40=2000+400=2400\)

15,36 ban nhé

\(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\\ =\left(4\sqrt{2}-5\sqrt{2}+3\sqrt{3}\right)\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\\ =\left(-\sqrt{2}+3\sqrt{3}\right)\left(3\sqrt{3}+\sqrt{2}\right)\\ =\left(3\sqrt{3}-\sqrt{2}\right)\left(3\sqrt{3}+\sqrt{2}\right)\\ =\left(3\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2=9.3-2=25\)

\(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)

\(=\left(4\sqrt{2}-5\sqrt{2}+3\sqrt{3}\right)\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\)

\(=\left(3\sqrt{3}-\sqrt{2}\right)\left(3\sqrt{3}+\sqrt{2}\right)=\left(3\sqrt{3}\right)^2-\sqrt{2}^2\)

\(=9.3-2=27-2=25\)

(\(\sqrt{32}-\sqrt{50}+\sqrt{27}\))(\(\sqrt{27}+\sqrt{50}-\sqrt{32}\))

= \(\left(4\sqrt{2}-5\sqrt{2}+3\sqrt{3}\right)\)\(\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\)

= \(\left(3\sqrt{3}-\sqrt{2}\right)\)\(\left(3\sqrt{3}+\sqrt{2}\right)\)

= \(\left(3\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2\)

= 27 - 2 = 25

\(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)

\(=\left(4\sqrt{2}-5\sqrt{2}+3\sqrt{3}\right)\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\)

\(=\left(3\sqrt{3}-\sqrt{2}\right)\left(3\sqrt{3}+\sqrt{2}\right)\)

\(=27-2\)

\(=25\)

\(\left(\sqrt{32}-\sqrt{50}+\sqrt{27}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)

\(\Leftrightarrow\left(4\sqrt{2}+3\sqrt{3}-5\sqrt{2}\right)\left(\sqrt{27}+\sqrt{50}-\sqrt{32}\right)\)

\(\Leftrightarrow\left(4\sqrt{2}+3\sqrt{2}-5\sqrt{2}\right)\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\)

\(\Leftrightarrow\left(3\sqrt{3}-\sqrt{2}\right)\left(3\sqrt{3}+5\sqrt{2}-4\sqrt{2}\right)\)

\(\Leftrightarrow\left(3\sqrt{3}-\sqrt{2}\right)\left(3\sqrt{3}+2\right)\)

\(\Leftrightarrow\left(3\sqrt{3}\right)^2-\left(\sqrt{2}\right)^2\)

\(\Rightarrow25\)

Vậy: BT = 25

P/s: từ dòng thứ 2 trở xuống bạn tự phân ... Vấn đề là ở bạn thôi :)))

\(=\left(\sqrt{27}\right)^2-\left(\sqrt{50}-\sqrt{32}\right)^2\)

\(=27-2=25\)

Hướng dẫn giải:

a) 736 : 32 = 23 

b) 1701 : 27 = 64 

c) 1648 : 47 = 35 (dư 3) 

d) 1133 : 87 = 13 (dư 3)