Correct Answer: Option C

Explanation

Z = x\(^2\) + \(\frac{1}{y^3}\)

Z - x\(^2\) = \(\frac{1}{y^3}\)

y\(^3\) = \(\frac{1}{Z - x^2}\)

y = \(\sqrt[3]{\frac{1}{Z - x^2}}\)

∴ y = \(\frac{1}{\sqrt[3]{Z - x^2}}\)

y = \(\frac{1}{(Z - x^2)^{\frac{1}{3}}}\)

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