Toán Lớp 7: Chứng minh rằng:
8^7 – 2^18 chia hết cho 14
Leave a reply
Register Now
Login
Lost Password
Lost your password? Please enter your email address. You will receive a link and will create a new password via email.
Toán Lớp 7: Chứng minh rằng:
8^7 – 2^18 chia hết cho 14
Comments ( 2 )
= (2^3)^7 – 2^18.
= 2^21 – 2^18.
= 2^17 \times 2^4 – 2^17 \times 2.
= 2^17 \times (2^4 – 2).
= 2^17 \times (16 – 2).
= 2^17 \times 14.
$\text{Mà}$ 2^17 \times 14 \vdots 14.
$\text{Vậy}$ 8^7 – 2^18 \vdots 14.