Question

[Dương Thanh Ngân]

CMR:

a/\(8^7-2^{18}\)chia hết cho 14

b/\(10^6-5^7\) chia hết cho 59

Answer 1

[do thi huyen]

a) \(8^7-2^{18}=\left(2^3\right)^7-2^{18}=2^{21}-2^{18}=2^{17}\left(2^4-2\right)=2^{17}.\left(16-2\right)=2^{17}.14⋮14\)

b) \(10^6-5^7=5^6.2^6-5^7=5^6.\left(2^6-5\right)=5^6.\left(64-5\right)=5^6.59⋮59\)