\(12+1224:12-72:2^3\)                                

\(=12+1224:12-72:8\)

 \(=12+102-9\)

\(=114-9\)

\(=105\)

Các phần còn lại tự làm nhé !

Câu 5: D

Câu 6: A

Câu 4: B

Câu 7: B

Câu 8: C

no bạn ơi

a: \(160-\left(2^3\cdot5^2-6\cdot25\right)\)

\(=160-\left(8\cdot25-150\right)\)

=160-(200-150)

=160-50

=110

\(=2\cdot5\cdot11\)

b: \(4\cdot5^2-32:2^4=4\cdot25-32:16=100-2=98=2\cdot7^2\)

c: \(5871:\left\lbrack928-\left(247-82\cdot5\right)\right\rbrack\)

\(=5871:\left\lbrack928-\left(247-410\right)\right\rbrack\)

=5871:[928-247+410]

=5871:1091

d: \(777:7+1331:11^3=111+1=112=2^4\cdot7\)

e: \(6^2:4\cdot3+2\cdot5^2=36:4\cdot3+2\cdot25\)

=27+50

=77

\(=7\cdot11\)

g: \(5\cdot4^2-18:3^2=5\cdot16-18:9=80-2=78=2\cdot3\cdot13\)

h: \(80-\left(4\cdot5^2-3\cdot2^3\right)=80-\left(4\cdot25-3\cdot8\right)\)

=80-(100-24)

=80-76

=4

=2^2

i: \(23\cdot75+25\cdot23+180\)

\(=23\left(75+25\right)+180\)

=2300+180

=2480

\(=2^4\cdot5\cdot31\)

k: \(2^4\cdot5-\left\lbrack131-\left(13-4\right)^2\right\rbrack\)

\(=16\cdot5-\left\lbrack131-81\right\rbrack\)

=80-50

=30

=2*3*5

m: 100:{250:[450-\(\left(4\cdot5^3-2^2\cdot25\right)\) ]}

=100:{250:[450-\(\left(4\cdot125-4\cdot25\right)\) ]}

=100:{250:[450-500+100]}

=100:{250:50}

=100:5

=20

=2^2*5

a: \(35\cdot20+125:5^2\)

\(=700+\frac{125}{25}\)

=700+5=705

b: \(5^2\cdot8-60:2^2\)

\(=25\cdot8-60:4\)

=200-15

=185

c: \(4500:15+3^4\cdot10\)

=300+81*10

=300+810

=1110

d: \(175-\left\lbrack3\cdot5^2-5\cdot3^2\right\rbrack\)

\(=175-\left(3\cdot25-5\cdot9\right)\)

=175-(75-45)

=175-30

=145

e: 555:5+\(256:16^2\)

=111+256:256

=111+1

=112

a) \(12^7:6^7=\left(12:6\right)^7=2^7\)

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

c) \(18^3:9^3=\left(18:9\right)^3=2^3=8\)

d) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5\)

a, 12⁷ : 6⁷ = (12 : 6)⁷ = 2⁷ = 128.

b,27⁵ : 81³ = (3³)⁵ : (3⁴)³ = 3¹⁵ : 3¹² = 3^{15 - 12} = 3³ = 27

c,18³ : 9³ = (18 : 9)³ = 2³ = 8.

d, 125³ : 25⁴ = (5³)³ : (5²)⁴ = 5⁹ : 5⁸ = 5^{9 - 8} = 5.

Câu 15: B

B

C

\(16^2:4^2\)

\(=\left(4^2\right)^2:4^2\)

\(=4^4:4^2\)

\(=4^{4-2}\)

\(=4^2\)

==========

\(25^5:5^2\)

\(=\left(5^2\right)^5:5^2\)

\(=5^{10}:5^2\)

\(=5^{10-2}\)

\(=5^8\)

============

\(9^8:3^2\)

\(=\left(3^2\right)^8:3^2\)

\(=3^{16}:3^2\)

\(=3^{16-2}\)

\(=3^{14}\)

===========

\(a^6:a\)

\(=a^{6-1}\)

\(=a^5\)

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

=\(3^{15-12}=3^3=27\)