What is the unit’s digit of 21^3 *21^2*34^7*46^8*77^8 ?

• 1*1*4*6*1=24
  so unit digit=4
• 9 years agoHelpfull: Yes(37) No(0)
• 21^3 = 1 ( always 1 )
  21^2 = 1
  34^7 = 4 ( 4 6 4 6 4 6 4 ...)here 7 is odd. so, it will be 4 in unit place
  46^8 = 6 (always 6 will be in unit place)
  77^8 = 3 ( 7 9 3 1 7 9 3 1...)
• 9 years agoHelpfull: Yes(4) No(3)
• 21^3 = 1 ( always 1 )
  21^2 = 1
  34^7 = 4 ( 4 6 4 6 4 6 4 ...)here 7 is odd. so, it will be 4 in unit place
  46^8 = 6 (always 6 will be in unit place)
  77^8 = 3 ( 7 9 3 1 7 9 3 1...)
  
  1*1*4*6*1=24 = 4 in unit place
  ANS = 4
• 9 years agoHelpfull: Yes(4) No(3)
• in these type of problem take only unit digit and solve the problem.
  21^3=1^3=1
  21^2=1^2=1
  34^7=4^7=16*16*16*4=6*6*6*4=36*24=6*4=24=4
  46^8=6(any power of 6 wll always gives us 6)
  77^8=7^8=49*49*49*49=9*9*9*9=81*81=1*1=1
  now multiply all results
  1*4*6*1=24=4(unit digit is 4) ANS.
• 9 years agoHelpfull: Yes(3) No(0)
• 21^3=unit digit is 1^3=1
  21^2 is 1
  34^7 which is 4^7=according to fourth table 4*1=4,4*4=16,4*4*4=64 hence unit digit repeated is 4 and 6 so divide 7/2 we get rem as 1 s0 4^1 is 4.
  46^8 always the unit digit is 6.
  77^8 is 1.
  1*1*4*6*1=24 ans is 4
• 9 years agoHelpfull: Yes(2) No(0)
• unit digit of 21^3 = 1
  unit digit of 21^2 = 1
  unit digit of 34^7 = 4
  unit digit of 46^8 = 6
  unit digit of 77^8 = 1
  
  hence 1*1*4*6*1 = 24 unit digit is 4
  
  ans is 4
  
• 9 years agoHelpfull: Yes(1) No(0)
• ans:4
  last digit of 21^3=1
  last digit of 21^2=1
  last digit of 34^7=4
  last digit of 46^8=6
  last digit of 77^8=1
  
  so 1*1*4*6*1 gives 1 as unit digit
  
• 9 years agoHelpfull: Yes(0) No(0)
• unit dig :
  21^5 =1
  34^7 =4
  46^8 =6
  77^8 =1
  1*6*4*1=4(ans).
• 9 years agoHelpfull: Yes(0) No(0)
• unit digit:1*1*4*6*6=144
  Ans=4
• 9 years agoHelpfull: Yes(0) No(1)
• 4
  1*1*4*6*1
• 9 years agoHelpfull: Yes(0) No(0)
• 21^3*21^2 = 21^5 unit digit 1
  34^7 unit digit 4
  46^8 unit digit 6
  77^8 unit digit 1
  product of all unit digits 24
  hence unit digit is 4
• 9 years agoHelpfull: Yes(0) No(0)
• 1*1*4*6*1
  4
• 9 years agoHelpfull: Yes(0) No(0)
• 1*1*4*6*1=24 units place is 4
• 9 years agoHelpfull: Yes(0) No(0)