Bài 1: 

a) 0²⁰⁰² < 0²⁰²³

b) 2022⁰ = 2023⁰

c) 54⁹ < 55¹⁰

d) ( 4 + 5 )³ > 4² + 5²

đ) 9² - 3² > ( 9 - 3 )²

Bài 2:

a) 3² x 4³ - 3² + 333

= 9 x 64 - 9 + 333

= 576 - 9 + 333

= 567 + 333

= 900

b) 5 x 4³ + 24 x 5 + 41⁰

= 5 x 64 + 24 x 5 + 1

= 5 x ( 64 + 24 ) + 1

= 5 x 88 + 1

= 440 + 1

= 441

c) 2³ x 4² + 3² x 5 - 40 x 1²⁰²³

= 8 x 16 + 9 x 5 - 40 x 1

= 128 + 45 - 40

= 133

Bài 1 :

a) \(0^{2002}=0;0^{2023}=0\Rightarrow0^{2002}=0^{2023}\)

b) \(2022^0=1;2023^0=1\Rightarrow2022^0=2023^0\)

c) \(54^9< 55^9;55^9< 55^{10}\Rightarrow54^9< 55^{10}\)

d) \(\left(4+5\right)^3>\left(4+5\right)^2;\left(4+5\right)^2>4^2+5^2\Rightarrow\left(4+5\right)^3>4^2+5^2\)

đ) \(9^2-3^2=81-9=82;\left(9-3\right)^2=6^2=36\Rightarrow9^2-3^2>\left(9-3\right)^2\)

Bài 2 :

a) \(3^2.4^3-3^2+333=3^2\left(4^3-1\right)+9.37=9.63+9.37=9\left(63+37\right)=9.100=900\)

b) \(5.4^3+24.5+41^0=20.4^2+20.6+1=20\left(16+6\right)+1=20.22+1=441\)

c) \(2^3.4^2+3^2.5-40.1^{2023}=8.16+9.5-40.1=128+45-40=128+5=133\)

+) 37 x ( 3 + 7 ) = 3^3 + 3^7

- 37 x ( 3 + 7 ) = 370

- 3^3 + 3^7 = 27 + 2187 = 2214

Từ đó, suy ra => SAI

+) 59 x ( 5 + 9 ) = 5^3 + 9^3

- 59 x ( 5 + 9 ) = 826

- 5^3 + 9^3 = 125 + 729 = 854

Từ đó, suy ra => SAI

sai

sai

đúng

sai

\(37\left(3+7\right)=3^3+7^3\)

\(37\cdot10=27+343\)

\(370=370\)(thảo mãn

=>đúng

vậy 37(3+7)=3^3+7^3

59 nhân 9 ( 5 + 9 ) = 5 mũ 3  + 9 mũ 3

( 1 + 2 + 3 + 4 ) mũ 2 = 1 mũ 2 +2 mũ 2 + 3 mũ 2 + 4 mũ 2

( 1 + 2 +3 +4 ) mũ 2 = 1 mũ 3 + 2 mũ 3 + 3 mũ 3 + 4 mũ 3

\(59\cdot9\left(5+9\right)=5^3+9^3\)

\(531\cdot14=125\cdot729\)

\(7434=91125\)(ko thỏa mãn)

vậy \(59\cdot9\left(5+9\right)=5^3+9^3\)là sai

a) 2³ = 8; 2⁴ = 16; 2⁵ = 32; 2⁶ = 64; 2⁷ = 128; 2⁸ = 256; 2⁹ = 512; 2¹⁰ = 1024

b) 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243

c) 4² = 16; 4³ = 64; 4⁴ = 256

d) 5² = 25; 5³ = 125; 5⁴ = 625

c) 6² = 36; 6³ = 216; 6⁴ = 1296

a) 2³ = 8; 2⁴ = 16; 2⁵ = 32; 2⁶ = 64; 2⁷ = 128; 2⁸ = 256; 2⁹ = 512; 2¹⁰ = 1024

b) 3² = 9; 3³ = 27; 3⁴ = 81; 3⁵ = 243

c) 4² = 16; 4³ = 64; 4⁴ = 256

d) 5² = 25; 5³ = 125; 5⁴ = 625

e) 6² = 36; 6³ = 216; 6⁴ = 1296

HT

4 mũ 3- 2×(4- 2 mũ3)

a,\(5^3.2-100:4+2^3.5\)

= 125 . 2 - 25 + 8 . 5

= 250 - 25 + 40

= 265

b, \(6^2:9+50.2-3^3.3\)

= 36 : 9 + 100 - 27 . 3

= 4 + 100 - 81

= 23

bạn kia ko làm các ý khác à

b) \(5^3\cdot2-100:4+2^3\cdot5\)

\(=125\cdot2-25+8\cdot5\)

\(=250-25+40\)

\(=225+40=265\)

c) \(6^2:9+50\cdot2+3^3-3\)

\(=36:9+100+27-3\)

\(=4+100+27-3\)

\(=104+27-3=131-3=128\)

d) \(3^2\cdot5+2^3\cdot10-81:3\)

\(=9\cdot5+8\cdot10-27\)

\(=45+80-27\)

\(=125-27=98\)

e) \(5^{13}:5^{10}-25\cdot2^2\)

\(=5^{13-10}-5^2\cdot2^2\)

\(=5^3-\left(5\cdot2\right)^2\)

\(=125-10^2\)

\(=125-100=25\)

f) \(20:2^2+5^9:5^8\)

\(=20:4+5^{9-8}\)

\(=5+5^1=5+5=10\)

g) \(100:5^2+7\cdot3^2\)

\(=10^2:5^2+7\cdot9\)

\(=\left(10:5\right)^2+63\)

\(=2^2+63=4+63=67\)

h) \(84:4+3^9:3^7+5^0\)

\(=21+3^{9-7}+1\)

\(=21+3^2+1\)

\(=21+9+1=30+1=31\)

i) \(29-\left[16+3\cdot\left(51-49\right)\right]\)

\(=29-\left[16+3\cdot2\right]\)

\(=29-\left[16+6\right]\)

\(=29-22=7\)

j) \(\left(15^{19}:5^{17}+3\right)\cdot0:7\)

\(=\left[\left(3\cdot5\right)^{19}:5^{17}+3\right]\cdot0\)

Vì số nào nhân cho 0 cũng bằng 0 nên giá trị biểu thức trên bằng 0

k) \(7^9:7^7-3^2+2^3\cdot5\)

\(=7^{9-7}-9+8\cdot5\)

\(=7^2-9+40\)

\(=49-9+40=40+40=80\)

l) \(1200:2+6^2\cdot2^1+18\)

\(=600+36\cdot2+18\)

\(=600+72+18\)

\(=600+\left(72+18\right)=600+90=690\)

m) \(5^9:5^7+70:14-20\)

\(=5^{9-7}+5-20\)

\(=5^2+5-20\)

\(25+5-20=30-20=10\)

Những câu sau mình làm sau nhé bạn!!!!!!!

ko bt

Đc r

1. 5³ = 5.5.5 = 125

2. 2⁷ = 2.2.2.2.2.2.2 = 128

3. 4⁴ = 4.4.4.4 = 256

4. 7³ = 7.7.7 = 343

6. 3⁵ = 243

7. 2⁶ =  64

8. 3⁴ =  81

9. 8³ =  512

11. 13² = 169

12. 11² = 121

13. 14² = 196

14. 15² = 225

16. 17² = 289

17. 18² = 324

18. 19² = 361

19. 20² = 400

21. 10⁴ = 10000

22. 10⁵ = 100000

23. 10⁶ = 1000000

24. 10⁷ = 10000000

bạn làm như bạn gia hân là đúng nhé

giải giúp mình bài 2 trên với ạ