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Question

$\sqrt[3]{\sqrt[3]{a^{3}}}$ is equal to
$a$
$1$
$a^{\frac{1}{3}}$
$a^{3}$

A

a

B

a^{\frac{1}{3}}

C

1

D

a^{3}

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Solution

Verified by Toppr

$\sqrt[3]{\sqrt[3]{a^{3}}} =$ ${((a^{3})^{\frac{1}{3}})}^{\frac{1}{3}}$
$\Rightarrow a^{3 \times \frac{1}{9}}$
$\Rightarrow a^{\frac{1}{3}}$

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