co ai giai dc ko cau 60 % .....

Bài 2

a) x=5

b)x=1

\(a=2.3^3\\ b=3^2.5^2\\ c=2.5\\ \RightarrowƯCLN\left(a,b,c\right)=2\)

a=2.33

b=32.52

c=2.5

suy ra ƯCLN(a,b,c)=2

a)4^50=(2^2)^50=2^100

Vậy 2^100=4^50

b) 4^3x5^3=(4x5)^3=20^3

Vì 20^3>19^3 nên 4^3x5^3>19^3

Tìm x:

3^2x4^2:(x-2)=12

(3x4)^2:(x-2)=12

12^2:(x-2)-12

x-2=12^2:12

x-2=12

x=12+2

x=14 

a, 2¹⁰⁰ và 4⁵⁰

Ta có : 

4⁵⁰=(2²)⁵⁰=2¹⁰⁰

Vì 2¹⁰⁰ = 2¹⁰⁰

=> 4⁵⁰ = 2¹⁰⁰

a) \(\frac{75^3.3^7}{81^4.5^6}=\frac{5^3.3^3.5^3.3^7}{\left(3^4\right)^4.5^6}=\frac{5^6.3^3.3^7}{3^{16}.5^6}=\frac{3^{10}}{3^{16}}=\frac{1}{3^6}=\frac{1}{729}\)
b) \(\frac{6^6.4^2}{3^{12}.2^8}=\frac{2^6.3^6.\left(2^2\right)^2}{3^{12}.2^8}=\frac{2^6.3^6.2^4}{3^{12}.2^8}=\frac{2^{10}.3^6}{3^{12}.2^8}=\frac{2^2.1}{3^6}=\frac{4}{729}\)
c) \(\frac{34^5.2^5}{2^{14}.17^5}=\frac{2^5.17^5.2^5}{2^{14}.17^5}=\frac{2^{10}}{2^{14}}=\frac{1}{2^4}=\frac{1}{16}\)

 1/2 x 2 mũ n cộng 4 x 2 mũ n = 9 x 2 mũ n

\(a,\)\(\frac{2^5\times3^{12}\times7^8}{2^7\times3^{10}\times7^9}=\frac{3^2\times\left(2^5\times3^{10}\times7^8\right)}{2^2\times7\times\left(2^5\times3^{10}\times7^8\right)}\)\(=\frac{3^2}{2^2\times7}=\frac{9}{28}\)

\(b,\)Tương tự

Bạn viết rõ ràng các phân số ra nhé.

A = \(\dfrac{11}{2^3.3^4.5^2}\) = \(\dfrac{11.5}{2^3.3^4.5^3}\) =  \(\dfrac{55}{2^3.3^4.5^3}\)

B = \(\dfrac{29}{2^2.3^4.5^3}\) = \(\dfrac{29.2}{2^3.3^4.5^3}\) = \(\dfrac{58}{2^3.3^4.5^3}\) 

A < B 

a) \(\frac{7^3.5^8}{49.25^4}=\frac{7^3.5^8}{7^2.\left(5^2\right)^4}=7.\frac{5^8}{5^8}=7\)

b) \(\frac{3^9.25.5^3}{15.625.3^8}=\frac{3.3^8.5^2.5^3}{3.5.5^4.3^8}=\frac{5^5}{5^5}=1\)

c) Đề hơi sai roi bạn oi

d) \(\left(\frac{2}{5}-\frac{1}{2}\right)^2+\left(\frac{1}{2}+\frac{3}{5}\right)^2=\left(\frac{-1}{10}\right)^2+\left(\frac{11}{10}\right)^2=\frac{1}{100}+\frac{121}{100}=\frac{61}{50}\)

Khanh Nguyễn Ngọc  :câu d ko sai bạn nha dấu "/" là trên nhó