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What is the units digit of 3 to the power of 19?

it is 3


What is the units digit of 2013 to the power of 2013?

The units digit of 20132013 is the same as the units digit of 32013. The units digit of 34 = units digit of 81 = 1 So units digit of 32013 = 32012+1 = 34*503+1 = 34*503 *31 = 1503*3 = 3


What is the units digit of 27 to the 27th power?

To find the units digit of (27^{27}), we can look at the units digit of (27), which is (7). We then need to find the units digit of (7^{27}). The units digits of the powers of (7) cycle every four terms: (7^1 = 7), (7^2 = 49) (units digit (9)), (7^3 = 343) (units digit (3)), and (7^4 = 2401) (units digit (1)). Since (27 \mod 4 = 3), the units digit of (7^{27}) is the same as that of (7^3), which is (3). Thus, the units digit of (27^{27}) is (3).


What is the unit digit of 3 to the 60 power?

3 to a power divisible by 4 will have a units digit of 1.The powers of 3 are 3, 9, 27, 81 ... obviously, the next one will have a units digit of 1x3 or 3, the next one will have a units digit of 3x3 or 9, the next one will have a units digit of 7 (because 9x3 is 27), the next one will have a units digit of 1 (because 7x3 is 21), and then the cycle starts over with a units digit of 3 again.


What is the units digit of 3 to the 200 power?

To solve a question like this, one looks at patterns of powers. For example: 31 = 3 32 = 9 33 = 27 34 = 81 Hence 34 = 1 and 38 = 1 and 312 = 1 and 316 = 1 and so on ............ now in this same sequence 3200 = 1 hence unit digit is 1.

Related Questions

What is the units digit of 7 to the 15 power?

Power 2: units digit 9. Multiply by 49 again to get power 4: units digit 1. So every 4th power gives units digit 1. So 16th power has units digit 1, so the previous power, the 15th must have units digit 3.


What is the units digit of 3 to the 53rd power?

3


What is the units digit of 3 to the power of 19?

it is 3


What is the units digit of 3 to the 324 power?

1


What is the units' digit of 3 to the 333?

To find the units' digit of 3 to the power of 333, we need to look for a pattern. The units' digit of powers of 3 cycles in a pattern: 3, 9, 7, 1. Since 333 divided by 4 leaves a remainder of 1, the units' digit of 3 to the power of 333 will be the first digit in the pattern, which is 3.


What is the units digit of 2013 to the power of 2013?

The units digit of 20132013 is the same as the units digit of 32013. The units digit of 34 = units digit of 81 = 1 So units digit of 32013 = 32012+1 = 34*503+1 = 34*503 *31 = 1503*3 = 3


What is the units digit of 27 to the 27th power?

To find the units digit of (27^{27}), we can look at the units digit of (27), which is (7). We then need to find the units digit of (7^{27}). The units digits of the powers of (7) cycle every four terms: (7^1 = 7), (7^2 = 49) (units digit (9)), (7^3 = 343) (units digit (3)), and (7^4 = 2401) (units digit (1)). Since (27 \mod 4 = 3), the units digit of (7^{27}) is the same as that of (7^3), which is (3). Thus, the units digit of (27^{27}) is (3).


What is the unit digit of 3 to the 60 power?

3 to a power divisible by 4 will have a units digit of 1.The powers of 3 are 3, 9, 27, 81 ... obviously, the next one will have a units digit of 1x3 or 3, the next one will have a units digit of 3x3 or 9, the next one will have a units digit of 7 (because 9x3 is 27), the next one will have a units digit of 1 (because 7x3 is 21), and then the cycle starts over with a units digit of 3 again.


What is the units digit of 3 to the 200 power?

To solve a question like this, one looks at patterns of powers. For example: 31 = 3 32 = 9 33 = 27 34 = 81 Hence 34 = 1 and 38 = 1 and 312 = 1 and 316 = 1 and so on ............ now in this same sequence 3200 = 1 hence unit digit is 1.


What is the units digit of 29 to the 57th power?

To find the units digit of (29^{57}), we can focus on the units digit of the base, which is 9. The units digits of the powers of 9 follow a pattern: (9^1 = 9), (9^2 = 81) (units digit 1), (9^3 = 729) (units digit 9), and (9^4 = 6561) (units digit 1). This pattern alternates between 9 and 1. Since (57) is odd, the units digit of (29^{57}) is the same as that of (9^{57}), which is 9.


What is the units digit of 29 to the 57 power?

To find the units digit of (29^{57}), we can focus on the units digit of the base, which is 9. The units digits of powers of 9 follow a pattern: (9^1 = 9), (9^2 = 81) (units digit 1), (9^3 = 729) (units digit 9), and (9^4 = 6561) (units digit 1). This pattern alternates between 9 and 1. Since (57) is odd, the units digit of (29^{57}) is the same as that of (9^{57}), which is (9). Thus, the units digit of (29^{57}) is (9).


What is the units digit of 2 to the power of 2011?

To find the units digit of a number raised to a power, we can look for patterns in the units digits of the powers of that number. For 2, the units digits of the powers cycle in a pattern: 2, 4, 8, 6. Since 2011 is 3 more than a multiple of 4 (2011 = 4 * 502 + 3), the units digit of 2 to the power of 2011 will be the fourth number in the cycle, which is 6.

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