\(\frac{5^{11}.7^{12}+5^{11}.7^{11}}{5^{12}.7^{12}+9.5^{11}.7^{11}}=\frac{5^{11}.7^{11}\left(7+1\right)}{5^{11}.7^{11}\left(5.7+9\right)}=\frac{8}{44}=\frac{2}{11}\)

\(\frac{2}{11}\)

bằng roblox

thien ty tfboys ơi cách làm là gì

1. Tìm x, biết:

a) \(\frac{4}{x}=\frac{8}{6}\). Ta có: \(\frac{8}{6}=\frac{8:2}{6:2}=\frac{4}{3}\Rightarrow x=3\)

b) \(\frac{3}{x-5}=\frac{4}{x+2}\). Ta có: \(5-2=3\)

\(\Rightarrow x=\left(3.5\right)+\left(4.2\right)+3=15+8+3=26\)

c) \(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x=\left(-8\right):\left(-2\right)=4\)

2. Rút gọn

a) \(\frac{2^4.5^2.11^2.7}{2^3.5^3.7^2.11}\Leftrightarrow\frac{2^3.2^1.5^2.11.11.7}{2^3.5^2.5^1.7.7.11}\Leftrightarrow\frac{2^1.11}{5^1.7}=\frac{22}{35}\)

b) Tương tự

c) Tương tự

\(\frac{4}{x}=\frac{8}{6}\Rightarrow x=\frac{4.6}{8}=3\)

\(\frac{3}{x-5}=\frac{-4}{x+2}\Rightarrow3\left(x+2\right)=-4\left(x-5\right)\)

                                \(\Rightarrow3x+6=-4x+20\)

                                \(\Rightarrow3x+4x=20-6\)

                                \(\Rightarrow7x=14\)

                                \(\Rightarrow x=2\)

\(\frac{x}{-2}=\frac{-8}{x}\Rightarrow x^2=\left(-8\right)\left(-2\right)=16\Rightarrow x=\pm4\)

\(\frac{4}{x}=\frac{8}{6}\)

\(\Rightarrow4\cdot6=x\cdot8\)

\(\Rightarrow x=\frac{4\cdot6}{8}\)

\(\Rightarrow x=3\)

a ) Tử số : 2^10 . 3^10 - 2^10 . 3^9 

      = 2^10 . 3^9 ( 3 - 1 ) 

      = 2^10 . 3^9 . 2  = 2^11 . 3^9

=> Phân số : 2^11  . 3^9 /2^9 . 3^10 = 4/3

b ) 5^12 . 7^12 + 9 . 5^11 . 7^11 

= 5^11 . 7^11 ( 5 . 7 + 9 ) 

=5^11 . 7^11 . 44

       \(\frac{-5}{11}\times\frac{7}{11}-\frac{5}{11}\times\frac{8}{11}+\frac{-6}{11}\)

\(=\left(\frac{-5}{11}+\frac{5}{11}\right)\times\left(\frac{8}{11}-\frac{7}{11}\right)\times\frac{-6}{11}\)

\(=0\times\frac{1}{11}\times\frac{-6}{7}\)

\(=0.\)