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Q. Solve 
 ${\left(\frac{\text{1}}{\sqrt[\text{4}]{\text{3}}}\right)}^{\text{4}}$

 

Please find below the solution to the asked query:

We have : ${\left(\frac{1}{\sqrt[4 ]{3}}\right)}^4$ , So

$$\begin{gathered} \Rightarrow {\left(\frac{1}{ 3^{{\displaystyle \frac{1}{4}}}}\right)}^4 \left(\mathrm{We} \mathrm{know} \sqrt[\mathrm{n}]{\mathrm{a}} = {\mathrm{a}}^{\frac{1}{\mathrm{n}}}\right) \\ \Rightarrow \frac{1^4}{ 3^{{\displaystyle \frac{1}{4}\times 4}}} \\ \mathbf{\Rightarrow }\frac{\mathbf{1}}{\mathbf{3}}\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\mathbf{ }\left(\mathbf{ }\mathbf{Ans}\mathbf{ }\right) \end{gathered}$$
Hope this information will clear your doubts about topic.