Japanese| Nice math Olympiad exponential problem|can you solve for a and b?

This video provides a step-by-step mathematical derivation to solve for the positive integers $a$ and $b$ in the equation $2^a - 2^b = 2016$. By utilizing exponent laws and prime factorization, the instructor demonstrates how to isolate the variables and determine that $a = 11$ and $b = 5$.