Ta có: \(315^5\cdot299-313^6\cdot36\)
=\(315^5\cdot\left(299-313\cdot36\right)\)
=\(315^5\cdot\left(299-11268\right)\)
=\(315^5\cdot\left(-10969\right)\)
=\(315^5\cdot-\left(10969\right)\)
Vì \(10969⋮7\)nên suy ra: \(315^5\cdot-\left(10969\right)⋮7\)=> \(315^5\cdot299-313^6\cdot36⋮7\)
Vậy ....