SSC
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Numerical Ability
Number System
The last digit of 3 to the power 40 is ?
Read Solution (Total 3)
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- power cycle of 3 is
3^1= 3
3^2= 9
3^3=(27)7
3^4=(81)1
3^5=(243)3
thus after power 4 it repeats....
3^40 => thus counts 40 in the power cycle, 40 must be ends with 1
thus,last digit of 3^40 is 1
- 10 years agoHelpfull: Yes(9) No(1)
- for getting unit place digit break any power in terms of 4
(3)^40 =>((3)^4*10) =>(3)^4 =>9*9=81 =>unit digit is 1. - 10 years agoHelpfull: Yes(3) No(1)
- Unit digit of 3^40
now,(3^4)^10
unit digit in 3^4 is 1
so the unit digit of 3^40 is 1 - 10 years agoHelpfull: Yes(1) No(0)
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