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.