Question

16的9次方-4的16次方,能被60整除

Answer 1

16^9 - 4^16

= (2^4)^9 - (2^2)^16

= 2^36 - 2^32

=(2^4 - 1) 2^32

= 15 × 2^32

= 15 × 2^2 × 2^30

= 60 × 2^30

∴ 能被60整除,结果是 2 的 30 次方,即 1 个G