A) \[{{x}^{1/6}}\]
B) \[{{x}^{6}}\]
C) \[{{x}^{1/12}}\]
D) \[{{x}^{-1/12}}\]
Correct Answer: A
Solution :
(a) \[x={{y}^{3}}\Rightarrow {{y}^{3}}=x\Rightarrow {{\left( {{y}^{3}} \right)}^{1/3}}={{x}^{1/3}}\] i.e. \[y={{x}^{1/3}}\] Further \[{{y}^{\frac{1}{2}}}={{\left( {{x}^{1/3}} \right)}^{\frac{1}{2}}}={{x}^{\frac{1}{6}}}\]You need to login to perform this action.
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