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ta có A=2+2^2+2^3+2^4+2^5+2^6+.....+2^58+2^59+2^60
A=(2+2^2+2^3)+(2^4+2^5+2^6)+...+(2^58+2^59+2^60)
A=14+2^3.(2+2^2+2^3)+.....+2^57.(2+2^2+2^3)
A=14+2^3.14+...+2^57.14
A=14.(1+2^3+...+2^57)\(⋮\)14
=> ĐPCM
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CÂU 1
\(5^{n+1}+5^n=750\)
\(=>5^n\cdot5+5^n=750\)
\(=>5^n\cdot\left(5+1\right)=750\)
\(=>5^n\cdot6=750\)
\(=>5^n=750:6\)
\(=>5^n=125\)
\(=>5^n=5^3\)
\(=>n=3\)
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1024 : ( 14 . 25 + 15 . 25)
1024 : [ 25 . ( 14 + 15 ) ]
1024 : [ 25 . 29 ]
1024 : [ 32 . 29 ]
1024 : 928
32/29
1024: (14x \(2^5\)+15x \(^{2^5}\)) = 1024: (14+15x \(^{2^5}\))
=1024: (29 x 32)
=1024:928
=\(\frac{32}{29}\)
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