** Final Answer

$13.736571$

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**** Step-by-step Solution **

Problem to solve:

$\left(\frac{12^{\frac{1}{3}}\cdot 18^{\frac{1}{4}}}{\sqrt{6}}\right)^4$

** Specify the solving method

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1

Divide $1$ by $3$

$\left(\frac{\sqrt[3]{12}\cdot 18^{\frac{1}{4}}}{\sqrt{6}}\right)^4$

Learn how to solve problems step by step online.

$\left(\frac{\sqrt[3]{12}\cdot 18^{\frac{1}{4}}}{\sqrt{6}}\right)^4$

Learn how to solve problems step by step online. Solve. Divide 1 by 3. The square root of 6 is \sqrt{6}. The cubic root of 12 is \sqrt[3]{12}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}.

** Final Answer

$13.736571$

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