0
To find the unit digit of 2 raised to the power of 40, we can observe a pattern. The unit digit of powers of 2 cycles in a pattern: 2, 4, 8, 6. Since 40 is a multiple of 4, the unit digit of 2^40 will be the fourth number in the pattern, which is 6. Thus, the unit digit of 2^40 is 6.
Still curious? Ask our experts.
Chat with our AI personalities
Coach
Vivi
Professor
Add your answer:
Earn +20 pts
How do you find the unit digit of 3127 power 173?
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.
What is the unit digit of 12.04?
2
What is the value of the unit digit in this number 5.69?
'5' is the UNIT digit. '6' is the 'tenths' digit. '9' is the 'hundredths' digit.
What will be the unit digit of the square root of 3844?
As 3844 ends in 4, its square root (if a whole number) will end in 2 or 8. √3844 = 62 so the unit digit is 2.
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.
