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`root4(root3(2^(2)))` equal to (i) 2^(-1/6) (ii) 2^(-6) (iii) 2^(1/6) (iv) 2^(6)

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`root4(root3(2^(2)))` equal to (i) 2^(-1/6) (ii) 2^(-6) (iii) 2^(1/6) (iv) 2^(6)
A. `2^(-1/6)`
B. `2^(-6)`
C. `2^(1/6)`
D. `2^(6)`
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Correct Answer - C
`root4(3root3(2^(2)))= [root3(2^(2))]^(1//4)=[(2^(2))^(1//3)]^(1//4)`
`[2^(2//3)]^(1/4)=2^((2/3).1/4)=2^(1/6)`
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