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Q.

Which of the following expressions is equal to x  ?  


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a

x 12 7 − x 5 7  

b

x 4 1 3 12  

c

  x 2 3 3 2  

d

x 12 7 ×x   

answer is C.

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Detailed Solution

Option (1):
The given expression is,
  x 12 7 − x 5 7   It is not equal to x   because, in order for that simplification to be equal to x,   there must be a division sign between the two terms of x.   Option (2):
The given expression is,
  ( x 4 ) 1 3 12 = x 4 3 12 ⇒ x 4 3 1 12   Multiply the powers.
∴ x 4 1 3 12  = x 4 3 × 1 12 ⇒ x 1 9  
Option (3):
The given expression is,
( x 2 3 ) 3 2 = ( x 2 3 ) 3 2    Multiply the powers.
∴ x 2 3 × 3 2 =x   Option (4):
x 12 7 ×x ≠x  
Therefore, option (3) is correct.
 
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Which of the following expressions is equal to x  ?