Find the last digit of the 2010 power of 3

Find the last digit of the 2010 power of 3

The end of the first power of 3 is 3
The end of the 2nd power of 3 is 9
The end of the third power of 3 is 7
The end of the fourth power of 3 is 1
3 At the end of the 5th power of 3
So at the end of the 2010 power of 3 is 9

The end of the first power of 3 is 3
The end of the 2nd power of 3 is 9
The end of the third power of 3 is 7
1 At the end of the 4th power of 3
3 At the end of the fifth power of 3
So at the end of the 2010 power of 3 is 9

What is the last digit of the 2010 power of 2

4
1St power bit of 2 2
2Nd power bits of 2 4
2 3Rd power bits 8
4Th power bits of 2 6
5Th power bit of 2 2
2010 Mod 4=2
The single digit of 2 to the power of 2010 is 4 as the single digit of 2 to the power of 2

4
1St power bit of 2 2
2Nd power bits of 2 4
3Rd power bits of 2 8
4Th power bits of 2 6
5Th power bit of 2 2
2010 Mod 4=2
The 2010 power single digit of 2 is 4 as the second power single digit of 2

4
1St power bit of 2 2
2Nd power bits of 2 4
3Rd power bits of 2 8
4Th power bits of 2 6
5Th power bits of 2 2
2010 Mod 4=2
The 2010 power single digit of 2 is 4 as the second power single digit of 2