What is the number in the unit’s place of 999^22292582
Question
What is the number in the unit’s place of 999^22292582
Solution
The number in the unit's place of 999^22292582 can be found by observing the pattern of the last digit of 999 raised to increasing powers.
- 999^1 ends in 9
- 999^2 ends in 1
- 999^3 ends in 9
- 999^4 ends in 1
As you can see, the pattern repeats every two powers. Therefore, for any even power, the last digit will be 1. Since 22292582 is an even number, the number in the unit's place of 999^22292582 is 1.
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