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Particular Solution of a Differential Equation

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Question

Simplify: $\frac{12^{\frac{1}{5}}}{27^{\frac{1}{5}}}$

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Solution

$(\frac{12}{27})^{\frac{1}{5}} = (\frac{4}{9})^{\frac{1}{5}} = (\frac{2}{3})^{\frac{2}{5}}$
Hence, $\frac{12^{\frac{1}{5}}}{27^{\frac{1}{5}}} = (\frac{2}{3})^{\frac{2}{5}}$

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