I think it is C. 5000 = 2^3 * 5^4
(1) y is an integer. Say it is 2^4. 5000/16 and x has a vlaue.
It can also be 3^4 because x has a different value. It is because nothing is said about x-whether real or integer.
(2)Same logic applies here too.
Take 1 and 2 and it is very easy to arrive at y which is 5. Good twist is x is an integer and y is a positive integer. These constraints are necessary because the power of y is even and hence y can be +ve or -ve. Because x's power is odd, sign is reflected in the calculation.
ds.x^3*y ^4=5000, y =?
1) y is a positive integer
2) x is a integer.
Thnx & Rgds,