What will be the sign of the product if we multiply 39 negetive integers and 98 positive integer

The rule of sign teaches that product of two or a pair of negative signs is positive and product of a negative and a positive is negative. Since 39 negatives = 19 pairs of negatives +1 negative, when we multiply 39 negative integers, the product will be a negative integer. Since sign of multiplying 98 positive quantities is always positive,

Sign of the product when we multiply 39 negative integers with 98 positive integers = (-) x (+) = -