what is the digit that comes immediately before zeros in 40^24?

• Ans:6
  40^24=4^24*10^24
  4^24=(4^4)*(4^4)*(4^4)*(4^4)*(4^4)*(4^4)
  4^4=256=> last digit is 6
  so, we will get last digit 6 for every 4^4
  so, by multiplying 6 by 6 for any no.of times we get "6" only..
  
• 11 years agoHelpfull: Yes(56) No(2)
• 40^24=(4*10)^24=4^24*10^24
  10^24 gives 24 zeroes at the end of product
  4^24=4^even=unit digit 6
  so 6 is the digit that comes immediately before 24 zeros in 40^24
  ANS 6
• 11 years agoHelpfull: Yes(17) No(1)
• ans: 6
  4^even number=>last digit is 6
• 11 years agoHelpfull: Yes(6) No(1)
• shortcut method...
  in the terms of last 2 digits..
  4^4=256
  6 is the ans
  only valid for 2 digit operations
  
• 11 years agoHelpfull: Yes(3) No(1)
• 4 have the power cycle of only 4 and 6.
  so, power cycle is of 2nos.
  when we divide 24 by 2 got remainder 0.
  so 6 is the answer.
• 11 years agoHelpfull: Yes(2) No(0)
• 6
  40^24=4^24*10^24
  4^24=(4^4)*(4^4)*(4^4)*(4^4)*(4^4)*(4^4)
  4^4=256=> last digit is 6
  so, we will get last digit 6 for every 4^4
  so, by multiplying 6 by 6 for any no.of times we get "6" only.
• 11 years agoHelpfull: Yes(1) No(0)
• Ans:6
  40^24=4^24*10^24
  4^24=(4^4)*(4^4)*(4^4)*(4^4)*(4^4)*(4^4)
  4^4=256=> last digit is 6
  so, we will get last digit 6 for every 4^4
  so, by multiplying 6 by 6 for any no.of times we get "6"
• 11 years agoHelpfull: Yes(0) No(0)
• 6 as 40^24 so firstly there would be all zeros after that if we check power of 4 is even so it will give 6 so after zeros 6 will apppear
• 11 years agoHelpfull: Yes(0) No(0)
• 40^24 = last digit is always 0 , so we can get the 2nd last digit by multiplying 4*4=16..soo 6 is the answer..simplest way..anysome can be done by this method.
• 11 years agoHelpfull: Yes(0) No(1)
• 40=4^24*10^24;
  so ans is 6
• 11 years agoHelpfull: Yes(0) No(0)
• digit immediately before zeros is last digit of 4^24;
  it will alternate 4 n 6 and 6 cones at even powers so ans is 6
• 11 years agoHelpfull: Yes(0) No(0)