WILL MARK BRAINLEST!!! EXPLAIN YOUR REASONING FOR POINTS

Answer: Mike is correct.
Step-by-step explanation:
(2^3) = 8 and 8^5 = 32768
therefore (2^3)^5 = 32768
2^15 is also 32768 while 2^8 is 256.
32768 is NOT equal to 256. Therefore Mike is correct.