fight the invincible?

Question

if a ^ (n) - b ^ (n) =c ^ (2) - d ^ (2) like
7 ^ (3) - 4 ^ (3) = 48 ^ (2) - 45 ^ (2) &
a ^ (n) or b ^ (n) can be expressed
as difference of two at least one set of two squares also like
7 ^ (3) =172 ^ (2) - 171 ^( 2) or any number
say x having any power n can also be expressed
as difference of at least one set of two squares i.e
x ^ (n) = h ^ (2) - j ^ (2)
prove that a ^ (n) - b ^ (n) = x ^ (n)
is not possible.a,b,x are natural or rational numbers and n is
a natural power.
hint :- (any number) ^ (0) is undefined.

sorry its
(any number)^(n)cannot be equal to 0 for any value of n

Answer 1

no no no no no no

by definition x^0 , x!=0 is 1 (one)