If 27x =9/3x, then what is the value of 1/x4?

If 27x =9/3x, then what is the value of 1/x4?

  1. 4
  2. 10
  3. 8
  4. 16
Pushpendra Pal Dean Asked on 14th September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 16

    Explanation:-
    27x = 9/3x
    3x x 33x = 32
    3(x + 3x) = 32
    Comparing on both side,
    x + 3x = 2
    4x = 2
    x = 2/4
    x = 1/2

    The value of 1/x4 = 1/(1/2)4
    = (2)4 = 2 x 2 x 2 x 2
    = 16

    Then, the value of 1/x4 is 16.

    Hence, the answer is (4) 16.

    Anurag Mishra Professor Answered on 14th September 2015.
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