The triplicate ratio of $a^{2} : b^{2}$ is _____

\sqrt[3]{a^{2}} : \sqrt[3]{b^{2}}

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a^{3} : b^{3}

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a^{6} : b^{6}

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a^{9} : b^{9}

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Solution

The correct option is D $a^{6} : b^{6}$
The triplicate ratio of $a : b$ is $a^{3} : b^{3}$
$∴$ The triplicate ratio of $a^{2} : b^{2}$ is $(a^{2})^{3} : (b^{2})^{3} = a^{6} : b^{6}$ .

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