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\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9\left(3-1\right)}{2^9.3^9}\)
\(=2.2=4\)
\(\Rightarrow2A=2+2^2+2^3+2^4+...+2^{11}\)
\(\Leftrightarrow2A-A=A\)
\(\Rightarrow A=\left(2+2^2+2^3+2^4+...+2^{11}\right)-\left(1+2+2^2+2^3+...+2^{10}\right)\)
\(\Rightarrow A=2^{11}-1\)
Phân số trên = 2^10.3^9.(3-1)/2^9.3^10
= 2^10.3^9.2/2^9.3^10
= 2^11.3^9/2^9.3^10
= 2^2/3 = 4/3
Tk mk nha
\(\frac{2^{10}\cdot3^{10}-2^{10}\cdot3^9}{2^9\cdot3^{10}}\)
\(=\frac{2^{10}\left(3^{10}-3^9\right)}{2^9\cdot3^{10}}=\frac{2^{10}\cdot3^9\left(3-1\right)}{2^9\cdot3^{10}}=\frac{2^{11}\cdot3^9}{2^9\cdot3^{10}}=\frac{2^2}{3}=\frac{4}{3}\)
a. 410 . 8 15 = (22)10 . (23)15 = 220 . 245 = 265
b. 415 . 530 = 415 . (52)15 = 415 . 2515 = (4.25)15 = 10015
c. 2716 . 910 = (33)16 . (32)10 = 348 . 320 = 368
Ta có :
\(\frac{2^{10}.3^{10}-2^{10}.3^9}{2^9.3^{10}}=\frac{2^{10}.3^9.\left(3-2\right)}{2^9.3^{10}}=\frac{2^{10}.3^9.2}{2^9.3^{10}}=\frac{2^{11}.3^9}{2^9.3^{10}}=\frac{2^2}{3}=\frac{4}{3}\)
Chúc bạn học tốt
\(2^{10}.3^{10}-2^{10}.3^9\)
\(=2^{10}.\left(3^{10}-3^9\right)\)
\(=2^{10}.\left[3^9\left(3-1\right)\right]\)
\(=2^{10}.3^9.2\)
\(=2^{11}.3^9\)