The value of (1/512)^1/9 is.
a, 1/2
b, 1/3
c, 1/4
d, 1/6

• 512= 2^9 ; (1/2^9)=1/512 ; 1^(1/9) / 2^(9*1/9) = 1/2
• 10 years agoHelpfull: Yes(32) No(1)
• Solution:
  The fraction in the power implies we have to find the root of the given number. Here the fraction is 1/9, so we have to find the 9th root of the given number.
  The given number is 1/512, so we have to find 9th root of 512. As 2 ^ 9 = 512, 9th root of 512 is 2.
  Answer is 1/2
  
• 10 years agoHelpfull: Yes(13) No(1)
• (1/512)^1/9= (1/2)^(9*1/9)=1/2
• 10 years agoHelpfull: Yes(5) No(1)
• x=(1/512)^1/9
  taking log
  log x= 1/9 *log(1/512)
  log x= 1/9 *log(1)-log(512)
  log x=1/9 * -log(2)^9
  log x=-log(2)
  log x =log (2)^-1
  X=1/2
• 9 years agoHelpfull: Yes(3) No(0)
• A)1/2
  Since , (1/2)^9=(1/512)
  Therefore, (1/512)^1/9=((1/2)^9)^1/9
  =(1/2)^9*1/9=1/2
• 9 years agoHelpfull: Yes(1) No(0)
• 1/512=(1/2^9)....
  (1/2^9)^(1/9)=(1/2)^(9/9)=1/2...a(ans)
  
• 10 years agoHelpfull: Yes(0) No(1)
• (1/512)=(2^-9);
  (1/512)^1/9=(2^-9)^1/9=(2)^-9/9=2^-1=1/2;
  
• 10 years agoHelpfull: Yes(0) No(0)
• 12
  ghanta
• 10 years agoHelpfull: Yes(0) No(3)
• 512=2^9
  therefore, (1/2)^9/9=1/2
• 10 years agoHelpfull: Yes(0) No(0)
• Ans=(1/2^9)^9=1/2
• 10 years agoHelpfull: Yes(0) No(1)
• Ans is 1/2
• 10 years agoHelpfull: Yes(0) No(0)
• 1/2
  make it 2^-9and multiply power by 1/9
  it would be 1/2
  
• 10 years agoHelpfull: Yes(0) No(0)
• a(1/2) (1/2^9)^1/9
• 10 years agoHelpfull: Yes(0) No(0)
• 1/2
  ((1/2)^9)^1/9=1/2
• 10 years agoHelpfull: Yes(0) No(0)
• very simple problem anyone can solve becoz everyone know 2^9=512 so (1/2)^9*1/9=1/2 ans
• 9 years agoHelpfull: Yes(0) No(0)
• 2^9=512.
  (1/2)^9=1/512
  (1/2)^9*1/9=1/2.
• 9 years agoHelpfull: Yes(0) No(0)
• a,1/2
  (1/512)^1/9=(1/2^9)1/9=
  (1/2^9)^1/9=1/2
• 9 years agoHelpfull: Yes(0) No(0)
• 2^9=512
  So answer is 1/2
• 9 years agoHelpfull: Yes(0) No(0)
• 2^9=512
  so (1/512)^1/9=(1/2)^9x(1/9)=1/2
• 9 years agoHelpfull: Yes(0) No(0)
• Ans a)1/2
  Soln:
  512=2^9
  S0 => (1/512)^1/9
  =>(1/2^9)^1/9
  =>1/2
  
• 9 years agoHelpfull: Yes(0) No(0)
• 1/2 is the right anwser
  
• 9 years agoHelpfull: Yes(0) No(0)
• (1/512)^1/9=((1/2)^9)^1/9
  
  this will lead to
  
  1/2
  
  so (a)
  
  
• 9 years agoHelpfull: Yes(0) No(0)
• it is 1/2
• 9 years agoHelpfull: Yes(0) No(0)
• 2^9=512.
  (1/512)^(1/9) can be written as (1/2^9)^(1/9) =1/2
• 9 years agoHelpfull: Yes(0) No(0)
• 2^9 = 512 so (1/512)^1/9 = ((1^9)/(2^9))^1/9 = (1/2)^9*1/9 = (1/2)1 = 1
• 9 years agoHelpfull: Yes(0) No(2)
• A
  (1/2^9)^1/9=1/2
  
• 8 years agoHelpfull: Yes(0) No(0)
• 2^9=512
  :.(1/2)^9=(1/512)
• 5 years agoHelpfull: Yes(0) No(0)
• (1/512)^1/9
  =(1/2)^9/9
  =1/2
• 3 years agoHelpfull: Yes(0) No(0)
• a) (1/512)^1/9
  =(1/2^9)^1/9
  =1^(1/9)/(2^9)^(1/9)
  = 1/2^(9*(1/9))
  =1/2
• 2 years agoHelpfull: Yes(0) No(0)