The unit digit of 3127173 is the unit digit of 7173. The other digits of 3127 are multiples of 10 and so they cannot contribute to the unit digit.
Now the unit digits of the powers of 7 are
Power -- Unit digit
0 -- 1
1 -- 7
2 -- 9
3 -- 3
4 -- 1
and you are back into the loop (of 1-7-9-3).
So, you only need consider 7 to the power 173 modulo 4. That is, the remainder when 173 is divided by 4.
173 = 1 mod 4
So the unit digit of 3127173 is the same as the unit digit of 7173 which is the unit digit of 71 which is 7.
6.
the unit digit is 4
Any digit in the tens or higher place has no influence on the answer. So it is the unit digit of 4*9*3*6 = unit digit of 6*3*6 = unit digit of 8*6 = 8
number in the unit place is "1" as the last digit repeats after 4 steps.
It is the unit's digit of the product of the unit's digits. For example, the units digit of 123456 * 4689 is simply the units digit of 6*9 = 54, which is 4.
One can easily find the units digit by looking for a pattern. For numbers with large powers, they will have a pattern that keeps repeating like a cycle. Depending on the multiple of the power, the pattern can be compared to find the units digit.
Well, isn't that a happy little math problem! When we look at the unit digit of powers of numbers, we focus on the cyclical pattern they follow. The unit digit of 3 raised to any power follows a pattern: 3, 9, 7, 1, and then repeats. So, to find the unit digit of 3 to the power of 34 factorial, we look for the remainder when 34 factorial is divided by 4, which is 2. Therefore, the unit digit of 3 to the power of 34 factorial is 9.
It is 6.
6.
The unit's digit in the expansion of 2 raised to the 725th power is 8. This can be determined by using the concept of the "unit's digit law". This law states that the units digit of a number raised to any power is the same as the units digit of the number itself. In this case, the number is 2, which has a units digit of 2, so the units digit of 2 to the 725th power is also 2. However, this is not the final answer. To get the unit's digit of 2 to the 725th power, we must use the "repeating pattern law". This law states that when a number is raised to any power, the unit's digit will follow a repeating pattern. For 2, this pattern is 8, 4, 2, 6. This means that the units digit of 2 to any power will follow this pattern, repeating every 4 powers. So, if we look at the 725th power of 2, we can see that it is in the 4th cycle of this repeating pattern. This means that the units digit of 2 to the 725th power is 8.
01
It is 63.
The units digit of 9n is 9 if n is odd and 1 if n is even. So 1.
the unit digit is 4
Any digit in the tens or higher place has no influence on the answer. So it is the unit digit of 4*9*3*6 = unit digit of 6*3*6 = unit digit of 8*6 = 8
number in the unit place is "1" as the last digit repeats after 4 steps.
It is the unit's digit of the product of the unit's digits. For example, the units digit of 123456 * 4689 is simply the units digit of 6*9 = 54, which is 4.