Calculando

a\cdot\sqrt{a^{-1}\sqrt{a^{-1}\sqrt{a^{-1}}}}

obtém-se:

a) \sqrt[6]{\frac{1}{a}}
b) 4a^{-1}
c) a^{-1}
d) \sqrt[8]{a}
e) \sqrt{a^{-1}}
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