Question
Simplify $\sqrt[4]{\sqrt[3]{\text{x}^2}}$ and express the result in the exponential form of $x.$

Answer

$\sqrt[4]{\sqrt[3]{\text{x}^2}}$ $=\Big(\sqrt[3]{\text{x}^2}\Big)^\frac{1}{4}$ $=\big(\text{x}^2\big)^{\frac{1}{3}\times\frac{1}{4}}$ $=\text{x}^{2\times\frac{1}{12}}$ $=\text{x}^\frac{1}{6}$

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