what is the last four digits of (3030303)^4?

• Since we need the last 4 digits, consider only the last 4 digits i.e. 0303..
  1. 0303 * 0303 = 91809
  Now we will again consider only the last 4 digits i.e. 1809
  2. 1809 * 0303 = 548127
  3. 8127 * 0303 = 62481
  Now, the last 4 digits are 2481 and is the required answer..
• 11 years agoHelpfull: Yes(53) No(1)
• last 4 digits 2481
• 11 years agoHelpfull: Yes(6) No(0)
• The answer I gave 3481 is wrong, it is due to the calculation mistake, the correct answer is 2481.
  don't multiply the whole number four times, since we need the last four digits of the result take the last three numbers,
  that is from the number 3030303 take the last three they are 303, so now multiply these last three number four times you will find the result as 2481.
• 11 years agoHelpfull: Yes(6) No(1)
• the last digit is 1
• 11 years agoHelpfull: Yes(5) No(2)
• split the number and make it 3030300+3
  So now expand (3030300+3)^4 using binomial theorem.
  =3030300^4 + 4c1*(3030300^3)*3 + 4c2*(3030300^2)*(3^2) + 4c3*(3030300)*(3^3) + 3^4
  
  Now consider the last 4 digits of each term and add them!
  So we get
  1st term=0000
  2nd term=4*3 = 12
  3rd term = 9*6 = 54
  4th term= 27*4*3030300 = 2400 (last 4 digits)
  5th term = 81
  
  so adding them, the last 4 digits are = 2574
• 11 years agoHelpfull: Yes(3) No(25)
• 303*303*303*303=
  Last digit is 2481
• 11 years agoHelpfull: Yes(3) No(1)
• the last four digits are 3481
  don't multiply the whole number four times, since we need the last four digits of the result take the last three numbers,
  that is from the number 3030303 take the last three they are 303, so now multiply these last three number four times you will find the result as 3481.
  
• 11 years agoHelpfull: Yes(2) No(5)
• last four digit will be 2481
• 11 years agoHelpfull: Yes(1) No(0)
• Sorry my previous answer was wrong, had some wrong calculations.
  The correct answer is 2481.
  
• 11 years agoHelpfull: Yes(1) No(0)
• 3481, 3030303*3030303 take last 4 digits 1809 then jus take the square of this number alone and take last 4 digits 3481
• 11 years agoHelpfull: Yes(1) No(0)
• its 2481 by multiplying the last 3 digits
• 11 years agoHelpfull: Yes(1) No(0)
• ans is 1....
• 11 years agoHelpfull: Yes(0) No(4)