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ko biết nha

\(\frac{2^{10}.13.2^{10}.65}{2^8.104}\)

\(=\frac{2^{20}.13.5.13}{2^8.2^3.13}\)

\(=\frac{2^{20}.13^2.5}{2^{11}.13}\)

\(=2^9.13.5\)

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

Xét : 210 . 13 + 210. 65 = 210 . ( 13 + 65 ) = 210 . 78 

         2⁸  . 104 = 2⁸ . ( 2² . 26 ) = 2⁸. 2². 26 = 2¹⁰.26

có : \(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)= \(\frac{2^{10}.78}{2^{10}.26}\)= \(\frac{78}{26}\)= 3

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}=\frac{2^{10}.\left(13+65\right)}{2^8.104}=\frac{2^{10}.78}{2^8.104}\)

\(=\frac{2^2.39}{52}=\frac{2^2.39}{2^2.13}\)

\(=\frac{39}{13}\)

\(=3\)

bài 2

\(2^x\cdot7=224\)

\(\Rightarrow2^x=224\div7\)

\(\Rightarrow2^x=32\)

\(\Rightarrow2^x=2^5\)

\(\Rightarrow x=5\)

\(\left(3^x+5\right)^2=289\)

\(\Rightarrow\left(3^x+5\right)^2=17^2\)

\(\Rightarrow3^x+5=17\)

\(\Rightarrow3^x=17-5\)

\(\Rightarrow3^x=12\)

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)

\(=\frac{2^{10}.78}{2^8.104}\)

\(=\frac{2^8.2^2.78}{2^8.104}\)

\(=\frac{2^8.4.78}{2^8.104}\)

\(=\frac{2^8.312}{2^8.104}\)

\(=\frac{2^8.3.104}{2^8.104}=3\)

\(\frac{2^{10}.13+2^{10}.65}{2^8.104}\)

\(=\frac{2^{10}.\left(13+65\right)}{2^8.104}\)

\(=\frac{2^{10}.78}{2^8.104}\)

\(=\frac{2^{10}.2.39}{2^8.2^3.13}\)

\(=\frac{2^{11}.39}{2^{11}.13}=3\)

\(\frac{2^{10}\cdot13+2^{10}\cdot65}{2^8\cdot104}=\frac{2^{10}\cdot\left(13+65\right)}{2^8\cdot104}=\frac{2^{10}\cdot78}{2^8\cdot104}=\frac{2^{10}\cdot2\cdot3\cdot13}{2^8\cdot2^2\cdot13}=\frac{2^{11}\cdot3\cdot13}{2^{10}\cdot13}=2\cdot3=6\)

 = 2^10.(13+65)/2^8.2^3.13 = 2^10.78/2^11.13 = 2^10.2.3.13/2^11.13 = 2^11.3.13/2^11.13 = 3

k mk nha

\(=\frac{13\cdot2^{10}+65\cdot2^{10}}{104\cdot2^8}=\frac{\left(13+65\right)\cdot2^8\cdot2^2}{104\cdot2^8}=\frac{78\cdot4}{104}=\frac{312}{104}=3\)

trả lời 

\(\frac{2^{10}.13.2^{10}.65}{28.104}\)=\(\frac{2^{20}.13^2.5}{2^5.7.13}=\frac{2^{15}.13.5}{7}\)

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