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Q. \( \left(\sqrt[m]{\sqrt[n]{a}}\right)^{mn} \)
(a) \( a^{mn} \) (b) \( a \) (c) \( a^{m/n} \) (d) 1
✏️ Solution
\( \sqrt[n]{a} = a^{1/n} \)
\( \sqrt[m]{\sqrt[n]{a}} = (a^{1/n})^{1/m} \)
\( = a^{1/(mn)} \)
\( \left(a^{1/(mn)}\right)^{mn} \)
\( = a \)
Correct Option: (b) \( a \)
\( \boxed{a} \)