unit digit of 4^5^6^7^8^9

• 4.. since 5^anything wil result in no having unit digit 5(which is odd)..so as per encyclicity of 4.. unit digit will be 4.
• 11 years agoHelpfull: Yes(30) No(16)
• it should be 6...
  unit place of 4^5 is 4 n then 4^6 is 6 n then 6^smthng is 6
  pls correct me if m wrong
• 11 years agoHelpfull: Yes(28) No(19)
• but here 4^(5*6*7*8*9)= 4^(15120) so 15120 is even ....so 4^(even)=6 at unit
  am i ryt...
• 11 years agoHelpfull: Yes(24) No(5)
• Answer will be 4 bcoz4. 5^anything wil result in no having unit digit 5(which is odd)..so as per cyclicity of 4.. unit digit will be 4
• 11 years agoHelpfull: Yes(13) No(6)
• write 4=2^2
  now2*5*6*7*8*9=3024
  2^1=unit digit is 2
  2^2=.....4
  2^3=...8
  2^4=...6
  2^5=...2
  2^6=..4
  nw cycle is here n=4
  3024%4=0
  so unit's digit is last no. of cycle
  that is 6
  
  
  
• 11 years agoHelpfull: Yes(9) No(0)
• 4^5=1024
  1024^6^7^8^9
  6*7*8*9=3024
  we could take last two digit of 1024..i.e24
  (24)^3024
  last digit will be 6
  as 24^even=ends in76
• 11 years agoHelpfull: Yes(4) No(6)
• @Anamika it should b considered frm base of not?
  how can we assume 5^smthng wen it itself is a power?
• 11 years agoHelpfull: Yes(2) No(1)
• 5 to d pwer anything gives 5 as last digit...4 to d pwer 5 gives last digit as 4
• 11 years agoHelpfull: Yes(1) No(4)
• ans:4
  as 9 can be witten as 4*2 +1
  so 4^1=4
• 11 years agoHelpfull: Yes(1) No(3)
• ans:4 ; 4^5=4
• 11 years agoHelpfull: Yes(1) No(4)
• SINCE 5 TO THE POWER ANYTHING WILL BE 5,
  SO, 4^5 = 1024,
  
  4 will be the LAST DIGIT !!!
  
  
• 11 years agoHelpfull: Yes(1) No(3)
• 6 is the unit's digit!
  
• 11 years agoHelpfull: Yes(1) No(0)
• correcr answer please
• 11 years agoHelpfull: Yes(0) No(0)
• Correct answere is 4
• 11 years agoHelpfull: Yes(0) No(0)
• result of 5^x
  in units place is always 5
  so 4^x
  x is somedigit having 5 in its units place..
  for 4 ^ something in odd we get 6 in units place...
  so ans is 6
• 11 years agoHelpfull: Yes(0) No(1)
• anything 5 power will give unit digit as 5
  so 4^5
  4^1=4
  4^2=16
  4^3=-4
  4^4=--6
  4^5=---4
  so 4 is unit digit
• 10 years agoHelpfull: Yes(0) No(0)
• correct ans=6..100%
  
• 10 years agoHelpfull: Yes(0) No(0)
• 4^5=1024.
  6*7*8*9=3024
  we could take last two digit of 1024..i.e24
  (24)^3024
  last digit will be 6
• 9 years agoHelpfull: Yes(0) No(0)
• any power of 4 gives only 2 outcomes in unit's digit i.e, 4 and 6. for odd multiple of power unit is 4 where as for even multiple unit is 6. here total power is(5*6*7*8*9)=15120 exactly divisible by 4
  ANS=6
• 9 years agoHelpfull: Yes(0) No(0)
• Answer will be 4 becoz 5 raised to any power gives last digit 5 and 4 to the odd power gives 4. Moreover for those who r getting ans 6, I'll gv an example, 2^2^3 is 2^8 and not 2^6 ie we dont multiply power for such cases, while (((2)^2)^3) will give 2^6. Also the calculation is from top to down and nt otherwise.
• 8 years agoHelpfull: Yes(0) No(0)