The correct option is C a^ 13 √(√(a^3))= #160; ( (a^3)^13 )^13 ⇒ a^3×19 ⇒ a^13 ...

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√√a3 is equal...

Question

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

a

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1

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

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a^{3}

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Solution

The correct option is C $a^{\frac{1}{3}}$
$\sqrt[3]{\sqrt[3]{a^{3}}} =$ ${((a^{3})^{\frac{1}{3}})}^{\frac{1}{3}}$
$\Rightarrow a^{3 \times \frac{1}{9}}$
$\Rightarrow a^{\frac{1}{3}}$

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