.If m=p^x*q^y, where p and q are different positive prime numbers. Is m a perfect square number?
(1) x*y is an odd number.
(2) x+y is an even number.
is m = 1 or 4 or 9 or 16 ....?
statement 1: x*y = odd ---> x and y are odd ---> m will not be a perfect square
OR x*y = odd could mean that x = 2, y =3/2, this will not make m a perfect square either
statement 2: x + y = even, x = 1, y = 1 ---> m is not a perfect square
OR x = 2, y = 2 ----> m is a perfect square