Ta có: \(10^6-5^7\)
\(=\left(5.2\right)^6-5^7\) \(=5^6.2^6-5^6.5\)
\(=5^6.\left(2^6-5\right)\) \(=5^6.\left(64-5\right)\)
\(=5^6.59\)
Vì \(59⋮59\) nên \(5^6.59⋮59\)
Vậy \(10^6-5^7⋮59\)
Chúc pạn hok tốt!!!
106 - 57 = (5.2)6 - 57= 56.26 -57 = 56 (26 - 5)= 56.59 ⋮ 59