How many digits are in the result of the expression?

1001^11

• 1001^11
  =(1+1000)^11
  =(1000)^11 + 11*(1000)^10 + 11*10/2 * (1000)^9 + ... + 1000
  = 10^33 + 11*10^30 + 55*10^27 + ...+1000
  = 10^33 + 10^31 + 10^30 + 55*10^27 + ...+1000
  
  10^33 has 34 no. of digits so, above sum will be of 34 digit
  
  no.of digits of exp = 34
  
• 10 years agoHelpfull: Yes(2) No(0)
• no. of digits after evaluation = (no. of digits of base value) + ((pow-1) * (no. of digits of base value))
  here no.of digits of base value is 4.
  pow=11
  So, answer= 4 + ((4-1) * (11-1)) = 34
• 10 years agoHelpfull: Yes(0) No(2)