What is the remainder when the number (4444)^{4444} is divided by 9?

- 4
- 6
- 7
- 8

**Answer**

Such type of questions can be solved by observing a pattern.

Remainder when (4444)^{1} is divided by 9 = 7

Remainder when (4444)^{2} is divided by 9 = 4

Remainder when (4444)^{3} is divided by 9 = 1

Remainder when (4444)^{4} is divided by 9 = 7

This can be generalized as follows:

Remainder when (4444)^{k} is divided by 9 = x

The repeating pattern is 7-4-1-7-4-1

So, for k = 4444, remainder is 7.

**The correct option is C.**