sum of the digits of 5^2010*8^673

• 5^2010 * 8^673 (2^3=8) therefore 673*3=2019
  =5^2010 * 2^2019
  =10^2010 * 2^9 (2^9=512)
  =10^2010 * 512= 512000..... upto 2010 zeroes.So the sum is 8.
• 10 years agoHelpfull: Yes(53) No(0)
• Ans is 8.
  5^2010 × 8^673=
  5^2010 × 2^(3×673) =
  5^2010 × 2^2019 =
  5^2010 × 2^2010 × 2^9=
  10^2010 × 2^9=
  512000..... UPTO 2010 ZEROES hence sum of digits is 5+ 1+2 =8
• 10 years agoHelpfull: Yes(13) No(0)
• We can write 8^673 as 2^2019
  And we can write 2^2019 as
  2^9*2^2010
  Now we can write 5^2010*8^673
  =10^2010*512
  So we will get 51200000000........
  Sum of digits will be 5+1+2+0+0+0+0...
  =8
• 10 years agoHelpfull: Yes(2) No(0)
• 2019-2010=9
• 10 years agoHelpfull: Yes(1) No(1)
• 5^2010's sum of digits will be 1
  8^673's sum of digits will be 8(8^1=8,8^2=1,......cyclic order)
  so ans is 8
• 10 years agoHelpfull: Yes(0) No(1)
• can u explain this solution clearly how r u getting 512 in no ways
• 10 years agoHelpfull: Yes(0) No(0)
• y r u taking 2^9
• 10 years agoHelpfull: Yes(0) No(2)
• 52010×8673=52010×(23)673=52010×22019
  ⇒(5×2)2010×29=102010×512=51200........02010 zeroes
  ⇒ Sum of the digits = 5 + 1 + 2 = 8
• 10 years agoHelpfull: Yes(0) No(0)