\(\dfrac{\left(3\cdot4\cdot2^{16}\right)^2}{11\cdot2^{13}\cdot4^{11}-16^9}=\dfrac{\left(3\cdot2^2\cdot2^{16}\right)^2}{11\cdot2^2\cdot\left(2^2\right)^{11}-\left(2^4\right)^9}\)

\(=\dfrac{3^2\cdot\left(2^2\right)^2\cdot\left(2^{16}\right)^2}{11\cdot2^2\cdot2^{22}-2^{36}}=\dfrac{3^2\cdot2^4\cdot2^{32}}{11\cdot2^{24}-2^{36}}\)

\(=\dfrac{3^2\cdot2^{34}}{11\cdot2^{24}-2^{36}}=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{11\cdot2^{24}-2^{12}\cdot2^{24}}\)

\(=\dfrac{3^2\cdot2^{24}\cdot2^{10}}{\left(11-2^{12}\right)\cdot2^{24}}=\dfrac{3^2\cdot2^{10}}{11-2^{12}}\)

ta có: 1/1*6+1/6*11+1/6*16+...+1/51*56.

=1/5.(5/1.6+5/6.11+5/6.16+...+5/51.56)

=1/5.(1/1-1/6+1/6-...-1/56)

=1/5.(1-1/56)

=1/5.(55/56)

=11/56

 11/56

Đ/số : 609/625

609/ 625

sai le thi quynh huong a

\(F=\left(1-\frac{1}{4}\right).\left(1-\frac{1}{9}\right).\left(1-\frac{1}{16}\right).\left(1-\frac{1}{25}\right)...\left(1-\frac{1}{100}\right)\)

\(F=\frac{3}{4}.\frac{8}{9}.\frac{15}{16}.\frac{24}{25}...\frac{99}{100}\)

\(F=\frac{1.3}{2.2}.\frac{2.4}{3.3}.\frac{3.5}{4.4}.\frac{4.6}{5.5}...\frac{9.11}{10.10}\)

\(F=\frac{1.2.3.4...9}{2.3.4...10}.\frac{3.4.5...11}{2.3.4.5...10}\)

\(F=\frac{1}{10}.\frac{11}{2}=\frac{11}{21}\)

F= 11/20 chứ hay bn sai

c)đề sai ở phân số cuối

D ) 1/11×16 +1/16×21+...+1/61×66

Đặt Thắng=1/11×16 +1/16×21+...+1/61×66

5Thắng=5(1/11×16 +1/16×21+...+1/61×66)

5Thắng=1/11-1/16+1/16-1/21+...+1/61-1/66

5Thắng=1/11-1/66

Thắng=5/176:5=1/176

D) Đặt D=1/11×16 +1/16×21+...+1/61×66

=>5D=5.(1/11x16+1/16x21+...+1/61x66)

=>5D=5/11x16+5/16x21+...+5/61x66

=>5D=1/11-1/16+1/16-1/21+...+1/61-1/66

=>5D=1/11-1/66

=>5D=5/66

=>D=1/66

C) Sai đề à ?

D) Đặt D=1/11×16 +1/16×21+...+1/61×66

=>5D=5.(1/11x16+1/16x21+...+1/61x66)

=>5D=5/11x16+5/16x21+...+5/61x66

=>5D=1/11-1/16+1/16-1/21+...+1/61-1/66

=>5D=1/11-1/66

=>5D=5/66

=>D=1/66

\(F=\frac{3}{4}x\frac{8}{9}x\frac{15}{16}x\frac{24}{25}x...x\frac{99}{100}\)

\(F=\frac{1x3x2x4x3x5x4x6x...x9x11}{2x2x3x3x4x4x5x5x...x10x10}\)

\(F=\frac{1x2x3x3x4x4x5x5x...x9x9x10x11}{2x2x3x3x4x4x5x5x...x10x10}=\frac{11}{2x10}=\frac{11}{20}\)

Ư(16) = {1;2;4;8;16}

 Tìm tất cả các ước của 16 

\(Ư\left(16\right)=\left\{\pm1;\pm2;\pm4\pm8\pm16\right\}\)

học tốt

Ư(16)={1;2;4;8;16} nhá

Chọn A

chú thich dấu nhân là . nha

ta có

\(\frac{16.7-5}{16.16+11}\)\(=\frac{7-5}{16+11}=\frac{2}{27}\)

ok đúng 100%

Còn Cách Khác Ko P

còn nhưng dài dòng lắm