Problem: if 2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ ( 2 ^ 9 ) - 2 ^ k , then k = ?
Rationale: "2 ^ k + 2 ^ k = ( 2 ^ 9 ) ^ 2 ^ 9 - 2 ^ k 2 * ( 2 ^ k ) = 2 ^ ( 4 * 3 ^ 9 ) = 2 ^ ( 2 ^ 2 * 2 ^ 9 ) = 2 ^ ( 2 ^ 11 ) 2 ^ k + 1 = 2 ^ ( 2 ^ 11 ) so k + 1 = 2 ^ 11 so k = 2 ^ 11 - 1 answer is c"
annotated_formula: subtract(power(2, add(9, const_2)), const_1)