The subtriplicate ratio of $27 : 125$ is _____

3 : 25

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3 : 5

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9 : 25

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27^{3} : 125^{3}

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Solution

The correct option is C $3 : 5$
The subtriplicate ratio of $a : b$ is $\sqrt[3]{a} : \sqrt[3]{b}$
$∴$ The subtriplicate ratio of $27 : 125$ is $\sqrt[3]{27} : \sqrt[3]{125} = 3 : 5$ .

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27 a^{3} - \frac{27}{5} a^{2} + \frac{9}{25} a - \frac{1}{125}

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