Câu 1:

1;   125 : 5²

   =   5³ : 5²

   =      5¹

2; 27⁵ : 81³

 = (3³)⁵ : (3⁴)³

 = 3¹⁵ : 3¹²

= 3³ 

3; 8⁴.16⁵.32

= (2³)⁴.(2⁴)⁵.2⁵

= 2¹².2²⁰.2⁵

= 2³⁷

Câu 1

4; 27⁴.81¹⁰

= (3³)⁴.(3⁴)¹⁰

= 3¹².3⁴⁰

= 3⁵²

   234 - ( 56 + 24 : 4 )
=234 - ( 56 + 6 )
=234 - 62
=172
 

  100 : { 250 : [ 450 - ( 500 - 2² . 25) ] }
=100 : { 250 : [ 450 - ( 500 - 4 . 25) ] }
=100 : { 250 : [ 450 - ( 500 - 100) ] }
=100 : { 250 :  [ 450 - 400] }
=100 : { 250 : 50}
=100 : 5
=20

dễ, nhưng phai giai dc câu nay  60% nhan x cong 2 phan 3 = 1 phan 3 nhan 6va 1 phan 3

dễ mà

Ta có:

$H=\dfrac{4^6\cdot9^5+6^9\cdot120}{8^4\cdot3^{12}-6^{11}}$

$=\dfrac{2^{12}\cdot3^{10}+2^{12}\cdot3^{10}\cdot5}{2^{12}\cdot3^{12}-2^{11}\cdot3^{11}}$

$=\dfrac{2^{12}\cdot3^{10}(1+5)}{2^{11}\cdot3^{11}(2\cdot3-1)}$

$=\dfrac{2^{12}\cdot3^{10}\cdot6}{2^{11}\cdot3^{11}\cdot5}$

$=\dfrac{2^2}{5}$

$=\dfrac45.$

$B=\dfrac{4^5\cdot10\cdot5^6+25^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}$

$=\dfrac{2^{10}\cdot2\cdot5\cdot5^6+5^{10}\cdot2^8}{2^8\cdot5^4+2^5\cdot5^7}$

$=\dfrac{2^{11}\cdot5^7+2^8\cdot5^{10}}{2^8\cdot5^4+2^5\cdot5^7}$

$=\dfrac{2^8\cdot5^7(2^3+5^3)}{2^5\cdot5^4(2^3+5^3)}$

$=2^{8-5}\cdot5^{7-4}$

$=2^3\cdot5^3$

$=8\cdot125$

$=1000.$

a, 2^3=8, 2^4=16,2^5=32, 2^6=64, 2^7=128, 2^8=256, 2^9=512, 2^10=1024

b, 3^2=9, 3^3=27, 3^4=81, 3^5=243

c, 4^2=16, 4^3=64, 4^4=256

d, 5^2=25, 5^3=125, 5^4=625

e, 6^2=36, 6^3=216, 6^4= 1296

Phép tính tám nhân năm mũ hai trừ một trăm tám chín chia ba mũ hai bằng bao nhiêu?

\(8\cdot5^2-189:3^2\\ =8\cdot25-189:9\\ =200-21\\ =179\)

HT

a, 2^300 < 3^200

b, 3^500 < 7^300

c, 8^5 > 3.4^7

d, 202^303 < 303^202 

A) Ta có : 2³⁰⁰=2^3.100=(2³)¹⁰⁰=8¹⁰⁰

3²⁰⁰=3^2.100=(3²)¹⁰⁰=9¹⁰⁰

Vì 8¹⁰⁰<9¹⁰⁰

Nên 2³⁰⁰<3²⁰⁰

B)Ta có: 3⁵⁰⁰ =3^5.100=(3⁵)¹⁰⁰=243¹⁰⁰

7³⁰⁰=7^3.100=(7³)¹⁰⁰=343¹⁰⁰

Vì 243¹⁰⁰<343

Nên 3⁵⁰⁰<7³⁰⁰

Hbioghgjgh

$\textbf{a)}$

$2^n\cdot2^4=128$

$\Leftrightarrow2^{n+4}=2^7$

$\Leftrightarrow n+4=7$

$\Leftrightarrow n=3.$