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Subtriplicate Ratio

The subtripli...

Question

The subtriplicate ratio of $a^{3} : b^{3}$ is ____

a^{2} : b^{2}

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a^{3} : b^{3}

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a^{6} : b^{6}

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a : b

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Solution

The correct option is D $a : b$
The subtriplicate ratio of $a : b$ is $\sqrt[3]{a} : \sqrt[3]{b}$
$∴$ The subtriplicate ratio of $a^{3} : b^{3}$ is $\sqrt[3]{a^{3}} : \sqrt[3]{b^{3}} = a : b$ .

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