Sum and Power is Given

Plugging this into a calculator, you get more than one solution. The integer solution gives x=14 and y=12, but the second solution is x=4.30467 and y=21.6953. This is an interesting problem, but it should just be specified that x and y are both integers @Kaizen Cyrus .

Factorize $56693912375296$ and get $2^{12}\times7^{12}$

$2^{12}\times7^{12}=14^{12}=x^y$ , also $x+y=14+12=26$

Hence $xy=14\times12=168$