what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 40 ?
"put in simple words , we need to find the highest power of 2 in 100 ^ 40 100 = 2 ^ 2 * 5 ^ 2 therefore 100 ^ 40 = ( 2 ^ 2 * 5 ^ 2 ) ^ 40 = 2 ^ 80 * 5 ^ 80 answer : a"
subtract(100, subtract(power(2, divide(100, 40)), const_1))