If x 3 2 2 2 3 4 then the value of x 2 is ........

Quantitative Aptitiude (CLAT) Number System

If x=(3/2)² (2/3)^-4, then the value of x^-2 is

(2/3)¹²

(3/2)¹²

(6/5)^-12

(5/6)^-12

x = (3/2)².(2/3)^-4
= (3/2)².(3/2)⁴
= (3/2)⁶
Thus, x^-2 = [(3/2)6]^-2
= (3/2)^-12 = (2/3)¹²

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