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

• unit digit should be 4
  as 5^(any no.) would have unit's digit as 5
  4^(any odd no.) would have unit's digit as 4
  ie.4^5^6^7^8^9=4^(any no.ending in 5)=4^(...5)=4^(any odd no.)=4
  
• 11 years agoHelpfull: Yes(118) No(19)
• (4) its power can be multiplied by rule (x)^n^m gives (x)^m*n
  ie 5*6*7*8*9 gives an even no
  and
  4^1 : gives 4 at unit digit
  4^2 :6 at ud
  4^3 gives 4 at unit digit
  therefore when power is odd unit digit is 4
  and when poer is even unit digit is 6
  hence ans. is 6
  
• 11 years agoHelpfull: Yes(29) No(14)
• unit digit will be 6
  4^(odd)=6 and 4^(even)=4
• 11 years agoHelpfull: Yes(14) No(28)
• sory i made a mistake
  4^(odd)=4
  and 4^(even)=6
  unit digit will b 6
• 11 years agoHelpfull: Yes(11) No(4)
• GUYS THE CORRECT ANSWR IS 6 ... HOW???
  4^odd=4(unit digit)...4^even=6(unit digit)....6^any=6(unit digit)....
  1st step ...4^5=4(unit digit) now expression 4^6^7^8^9....
  2nd step ...4^6=6(unit digit) now expression 6^7^8^9.....now as 6^any=6(unit digit)..so ans will be 6
• 11 years agoHelpfull: Yes(9) No(4)
• WE KNOW m^n^o = m*n*o
  similarly , 5*6*7*8*9 = ---0 i.e. last digit will be 0 (5*6 =30)
  it means 4^even
  so last digit is 6.
  
  taking sense of 5 as power and calculating is wrong becoz of m*n*0 rule
• 11 years agoHelpfull: Yes(5) No(1)
• ans=6
  4^odd=4
  4^even=6
  6^even or odd ans should be 6.............
• 11 years agoHelpfull: Yes(5) No(0)
• ans : 4 by cyclicity rule.. 4^1 = 4
• 11 years agoHelpfull: Yes(4) No(3)
• look friends it is just simple to make it up
  
  if any EVEN number has a power with a MULTIPLE of 4 then its unit digit is ALWAYS 6
  
  here:- 4^5^6^7^8^9 =4^(5*6*7*8*9)
  =4^15120 (multiple of 4)
  =unit digit is 6
• 11 years agoHelpfull: Yes(4) No(4)
• unit digit is 0
  as 5 multiplied with any no. gives 0 as the unit digit
  
• 11 years agoHelpfull: Yes(3) No(19)
• unit digit 4
  
  
• 11 years agoHelpfull: Yes(3) No(2)
• answer is 4...
• 11 years agoHelpfull: Yes(2) No(1)
• unit digit is 6
  
• 11 years agoHelpfull: Yes(2) No(1)
• @swati-5*3=15..where is zero???
• 11 years agoHelpfull: Yes(1) No(2)
• as cyclicity of 4 is 4
  so 4^1=4
• 11 years agoHelpfull: Yes(1) No(4)
• i agree with u neha
  unit digit must be:4
• 11 years agoHelpfull: Yes(0) No(1)
• can anyone pls tell me the correct answer?
• 11 years agoHelpfull: Yes(0) No(0)
• as,4^9! is even,so unit digit is 6...
• 11 years agoHelpfull: Yes(0) No(0)
• unit digit shuld be 4 like short cut way=4^5^(6^7^8^9) as 5^x=unit digit always 5 so 4^5 now 4 's unit digit may be 4,6 so 5/2 remaindr=1 then 4
• 11 years agoHelpfull: Yes(0) No(0)
• 5*6*7*8*9= 15120 which is an even number.. 4^even number has 6 in the units place so ans will be 6
• 10 years agoHelpfull: Yes(0) No(1)