if z=(6010004)^n then what is the minimum value of n for which the fourth digit for the right is a non zero no.

• 4^5= 1024
  so n= 5
• 7 years agoHelpfull: Yes(18) No(1)
• First split 6010004 as sum of 6010000 and 4,
  so z=(6010000+4)^n
  
  now as we by binomial expansion that all terms will contain at least 6010000 in multiplication except for one tern that is 4^n and therefore only that term will determine what comes in the last 4 positions.
  
  So now the problem is reduced to what power of 4 gives a non zero in the 4th position from right.
  
  as we know 4^5 = 1025, therefor that is the minimum value of n for z to have a non zero number in the thousand position.
• 7 years agoHelpfull: Yes(11) No(0)
• plz explin clearly
• 7 years agoHelpfull: Yes(1) No(1)
• 5
  6010004^5=*****1024
  4^5=1024
• 7 years agoHelpfull: Yes(1) No(0)