Which of the following is equal to 6^14/(2^5)(3^7) ?

Question

Guys, can anyone help me out on Which of the following is equal to 6^14/(2^5)(3^7) ?  
    
  A. (2^2)(3^2)  
  B. (2^7)(3^7)  
  C. (2^9)(3^2)  
  D. (2^9)(3^7)  
  E. (2^9)(3^9)  
    
  All help is appreciated #GMAT #gmatprep

Jaideep Hooda · Answer

It certainly did, thanks!

Vijaya Lakshmi K · Answer

Hello Jaideep,

The answer would be option D. 
You need to prime factorize 6 and write the numerator as (2^14)*(3^14). Then you can cancel out the denominator powers with the numerator to get (2^9)(3^7)

Hope this helps.

Which of the following is equal to 6^14/(2^5)(3^7) ?

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