MathematicsWhat is the value of 1 9 − 1 2   after simplifying it?

What is the value of 1 9 − 1 2   after simplifying it?


  1. A
    3  
  2. B
    3 6  
  3. C
    3 4  
  4. D
    3 2   

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    Solution:

    The given expression is,
    1 9 − 1 2  
    Apply the following law of exponent:
    a b n = a n b n  
    Therefore, we can simplify it as,
    1 9 −2 = 1 3 2 −2  
    ⇒ 1 9 −2 = 1 3 −4  
    ⇒ 1 9 −2 = 3 4        1 a −n = a n  
    Thus, the value of  1 9 − 1 2   after simplifying it, is 3 4 .  
    Hence, option 3 is the correct option
     

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