Hello, kiddopop!
. . . .
Can this be an integer? .
We have: .
The answer is yes, for
. . . .
Can this be an integer? .
We have: .
The answer is no.
For a = 238000 = 2^4 * 5^3 * 7 * 17 and b = 299880 = 2^3 * 3^2 * 5 * 7^2 * 17
(a) Is there an integer k so that a divides b^k? If so, what is the smallest possibility for k? If not, why not.
(b) Is there an integer k so that b divides a^k? If so, what is the smallest possibility for k? If not, why not.