In this question, A^B means A raised to the power B. What is the largest positive integer n for which 8^n divides 44^44?
option
a) 44
b) 29
c) 22
d) 8

• Anwser:29
  8^n=(2^3)^n
  44^44=(11*2^2)^44=11^44*2^88
  (11^44 *2^88)/ 2^3n
  3n=88
  n=29
  
• 11 years agoHelpfull: Yes(45) No(2)
• 44^44/8^n
  (11*2^2)^44/(2^3)^n
  11^44*2^88/2^3n
  Since 2^88is divisible by 2^3n if 88=3n
  So n=29
• 11 years agoHelpfull: Yes(6) No(0)
• Ans will be 29
• 11 years agoHelpfull: Yes(4) No(1)
• Anwser:29
  8^n=(2^3)^n =2^3n
  44^44=(11*2^2)^44=(11^44)*(2^88)
  (11^44 * 2^88)/ 2^3n
  3n=88
  n=29
• 11 years agoHelpfull: Yes(4) No(0)
• Anwser:29
  8^n=2^3n
  44^44=(11*2^2)^44=11^44*2^88
  (11^44 *2^88)/ 2^3n
  to divide the no., 2^3n shud completely divide 2^88
  3n
• 11 years agoHelpfull: Yes(2) No(0)
• 29
• 11 years agoHelpfull: Yes(0) No(0)