Elitmus
Exam
Numerical Ability
Age Problem
The value of (1/512)^1/9 is.
a, 1/2
b, 1/3
c, 1/4
d, 1/6
Read Solution (Total 29)
-
- 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 - 9 years agoHelpfull: Yes(0) No(0)
- Ans=(1/2^9)^9=1/2
- 9 years agoHelpfull: Yes(0) No(1)
- Ans is 1/2
- 9 years agoHelpfull: Yes(0) No(0)
- 1/2
make it 2^-9and multiply power by 1/9
it would be 1/2
- 9 years agoHelpfull: Yes(0) No(0)
- a(1/2) (1/2^9)^1/9
- 9 years agoHelpfull: Yes(0) No(0)
- 1/2
((1/2)^9)^1/9=1/2 - 9 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)
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