Let \(n(A) = m\) and \(n(B) = n\), if the number of subsets of A is 56 more than of subsets of B, then \(m + n\) is equal to
Show Hint
When dealing with differences of powers of 2 (like \(2^m - 2^n\)), always factor out the smaller power to get a product of a power of 2 and an odd number \(2^n(2^{m-n} - 1)\). This makes comparing with prime factorizations straightforward.