If x is a positive even integer and y is a negative odd integer

• Numbers

If x is a positive even integer and y is a negative odd integer, then x^y is

1. even integer
2. rational number
3. odd integer
4. none

Answer

Let's take some examples:

Take x = 2 and y = - 3

2^(-3)  = 1/8 which is rational.

Now, take x = 5 and y = -3

Again 5^(-3)  = (1/125), which is rational.

So, x^y is always of the form p/q, where q ≠ 0 and is therefore rational.

The correct option is B.