Question 192091
DeMorgan's Law: ~(A v B) = ~A & ~B .... note: the "v" means "or" and the "&" means "and"


So using the given law stated above, we can say that 

~ (p V ~q) = ~p & ~~q


Use double negation to simplify ~~q to get q. So the final answer is 


~ (p V ~q) = ~p & q