Question

Chứng tỏ 10! \(⋮\) 2\(^8\)

Ai giải đc bài này ko nhỉ!!

Đây là hướng dẫn nà các bn!!

10!= 10.9.8.7.6.5.4.3.2.1

Answer 1

Vì \(10!=10.9.8.7.6.5.4.3.2.1\)

\(\Leftrightarrow10!=2.5.9.2^3.7.2.3.5.2^2.3.2.1\)

\(\Leftrightarrow10!=\left(2.2^3.2.2^2.2\right).1.3^2.5^2.7.9\)

\(\Leftrightarrow10!=2^8.3^2.5^2.7.9\)

Vậy \(10!⋮2^8\)

Answer 2

Ta có : 10! = 10.9.8.7.6.5.4.3.2.1
= (2.5)9.2³.7.(2.3)5.2².3.2
= (2.2³.2.2².2)(5.9.7.3.5.3)
= 2⁸(5.9.7.3.5.3) \(⋮2^8\)
=> đpcm
@Võ Như Quỳnh

Answer 3

\(10!=10.9.8.7.6.5.4.3.2.1\)

\(\Rightarrow10!=2.5.9.2^3.7.2.3.5.2^2.3.2.1\)

\(\Rightarrow10!=2.2^3.2.2^2.2.5.9.7.3.5.3.1\)

\(\Rightarrow10!=2^{1+3+1+2+1}.5.9.7.3.5.3.1\)

\(\Rightarrow10!=2^8.5.8.7.3.5.3.1\)

Có \(2^8⋮2^8\)

\(\Rightarrow10!⋮2^8\) \(\left(đpcm\right)\)

Answer 4

Vì 10 ! = 10.9.8.7.6.5.4.3.2.1 \(\Leftrightarrow\) 10 ! = 2.5.9.2³.7.2.3.5.2².3.2.1 \(\Leftrightarrow\) 10 ! = ( 2.2³.2.2².2 ) . 1.3².5².7.9 \(\Leftrightarrow\) 10 ! = 2⁸.3².5².7.9 Vậy 10 ! \(⋮\) 2⁸

Answer 5

nhows tick cho mk nha

Answer 6

\(10!= 10.9.8.7.6.5.4.3.2.1\)

Có \(8⋮8\)

\(\Rightarrow10!⋮8\left(ĐPCM\right)\)