Q. What will be in unit\'s place digit of 3 to the power 34.
option:
A) 1
B) 6
C) 3
D) 0
E) 9

• 9 is the answer... as the unit place digit of 3 to the power of 1 is 3, to the power of 2 is 9.to the power of 3 is 7 ,to the power of 4 is 1 and it'll be repeated again in the same order.... so the unit place digit of 3 to the power of 34 is 9..
• 10 years agoHelpfull: Yes(19) No(3)
• to find unit digit take last two digit of the power and then divided it by 4
  and use remainder as a power of no
  like 3^34
  34/4 remainder will be 2
  then 3^2=9
  ans E) 9
• 10 years agoHelpfull: Yes(19) No(0)
• units place of 3 repeats after four places 3 9 7 1 3.....
  s0,
  = 34/4
  = 2 remainder
  now, 3^2=9 ans...
• 10 years agoHelpfull: Yes(7) No(0)
• we know 3^4=81 & 81^any value = number with 1 at unit place
  so ((3^4)^8)*3^2= number with 1 at unit place * 9 = number with 9 at unit place.
  so option E is right
• 10 years agoHelpfull: Yes(6) No(0)
• ans) E
  Unit's place digit of 3 to the power 34 is 9
  3^34 = 3^(4*8)x3^2 ==> 3^2 ==> 9
• 10 years agoHelpfull: Yes(6) No(0)
• 3^34
  =(3^2)^17
  =(9)^17
  =(9)^16*9
  =(9^2)^8*9
  =(1)^8*9 [(9^2)=81,so we take unit place digit so (9^2)^8=(1)^8]
  =1*9
  =9
  So 9 is the answer.
• 10 years agoHelpfull: Yes(6) No(2)
• 3^34=(3)^4*8+2
  =(3)^2
  =9
  As by formula a^4k+2=a^2
• 10 years agoHelpfull: Yes(4) No(0)
• cycle of 3 is 3,9,7,1 it is repeated after every fourth intrval. so the ans is 9
• 10 years agoHelpfull: Yes(2) No(0)
• 3^x follow a patten unit place
  
  3^1 = 3 3
  3^2 =9 9
  3^3 = 27 7
  3^4 = 81 1
  3^5 = 243 3
  3^6 = 729 9
  34/4 = remainder will be 2
  ans>>>>>>>>>>>>(e)9
• 10 years agoHelpfull: Yes(2) No(0)
• 3^32*3^2=3^34
  the unit digit of 3^32 is 1(3*3*3*3=81)and 3^2 is 9
  so 1*9=9(ans)
• 10 years agoHelpfull: Yes(1) No(0)
• 9, as 3^4=1 always.so,3^34 can be written as (3^4)^8 *3^2.so, by this we get,1*9=9
• 10 years agoHelpfull: Yes(1) No(0)
• its based on cycle of a number.
  cycle of 3 is 3,9,7,1
  now devide the power by 4 we get 2 as reminder
  it means the 2nd no in cycle is at unit place
  
• 8 years agoHelpfull: Yes(1) No(0)
• e is the right ans becaz 1,3,9,7 is repeadted
• 7 years agoHelpfull: Yes(1) No(0)
• Cyclicity of 3 is 4 that means 3^4=81 here last digit is '1'
  then find out last digit of 3^34
  3^32 get last digit is 1 remaining 3^2 =9
  therefore 3^32*3^2=1*9=9
• 6 years agoHelpfull: Yes(1) No(0)
• (3)^34=((3)^2)^17
  =(9)^17
  We know that for odd power of 9 unit digit is 9 and for even power unit digit is 1.
  Here power is odd so unit digit=9
• 5 years agoHelpfull: Yes(0) No(0)