Fill in the blanks :
(i) `(AuuB)^(c)`=.........
(ii) `(AcapB)^(c)`

Answer

To solve the given question, we will use De Morgan's Laws, which state:

1. The complement of the union of two sets is equal to the intersection of their complements:
\[ (A \cup B)^c = A^c \cap B^c \]

2. The complement of the intersection of two sets is equal to the union of their complements:
\[ (A \cap B)^c = A^c \cup B^c \]

Now, let's fill in the blanks for the given expressions.

### Solution Steps:

**(i)** For the expression \((A \cup B)^c\):
- According to De Morgan's Law, we have:
\[ (A \cup B)^c = A^c \cap B^c \]
- Therefore, the answer for part (i) is:
\[ (A \cup B)^c = A^c \cap B^c \]

**(ii)** For the expression \((A \cap B)^c\):
- Again, applying De Morgan's Law, we find:
\[ (A \cap B)^c = A^c \cup B^c \]
- Thus, the answer for part (ii) is:
\[ (A \cap B)^c = A^c \cup B^c \]

### Final Answers:
(i) \((A \cup B)^c = A^c \cap B^c\)
(ii) \((A \cap B)^c = A^c \cup B^c\)