what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 70 ?
"put in simple words , we need to find the highest power of 2 in 100 ^ 70 100 = 2 ^ 2 * 5 ^ 2 therefore 100 ^ 70 = ( 2 ^ 2 * 5 ^ 2 ) ^ 70 = 2 ^ 140 * 5 ^ 140 answer : b"
subtract(100, subtract(power(2, divide(100, 70)), const_1))