Đáp án:

Giải thích các bước giải:

Theo đề
`4^{8}.3^{10}+5.2^{12}.3^{10}-6^{10}.16`
`=(2^{2})^{8}.3^{10}+5.2^{12}.3^{10}-(2.3)^{10}.16`
`=2^{16}.3^{10}+5.2^{12}.3^{10}-2^{10}.3^{10}.2^{4}`
`=2^{12}.3^{10}.2^{4}+5.2^{12}.3^{10}-2^{12}.3^{10}.2^{2}`
`=2^{12}.3^{10}.(16+5-4)`
`=2^{12}.3^{10}.17`
Mà
`17\vdots17`
`=>2^{12}.3^{10}.17\vdots17`
`=>(4^{8}.3^{10}+5.2^{12}.3^{10}-6^{10}.16)\vdots17`
Vậy `(4^{8}.3^{10}+5.2^{12}.3^{10}-6^{10}.16)\vdots17`