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Please help me solve this with explainantion

Answer» <html><body><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>(a </p><p>m</p><p> ) </p><p>n</p><p> =a </p><p>mn</p><p> </p><p></p><p>Given:</p><p></p><p>\sqrt[<a href="https://interviewquestions.tuteehub.com/tag/4-311707" style="font-weight:bold;" target="_blank" title="Click to know more about 4">4</a>]{\sqrt[3]{<a href="https://interviewquestions.tuteehub.com/tag/2-283658" style="font-weight:bold;" target="_blank" title="Click to know more about 2">2</a>^2}} </p><p>4</p><p> </p><p>3</p><p> </p><p>2 </p><p>2</p><p> </p><p> </p><p> </p><p> </p><p> </p><p></p><p>=\sqrt[4]{\sqrt[3]{4}}= </p><p>4</p><p> </p><p>3</p><p> </p><p>4</p><p> </p><p> </p><p> </p><p> </p><p></p><p>=\sqrt[4]{4^{\frac{1}{3}}}= </p><p>4</p><p> </p><p>4 </p><p>3</p><p>1</p><p> </p><p> </p><p> </p><p> </p><p> </p><p></p><p>=({4^{\frac{1}{3}}})^{\frac{1}{4}}=(4 </p><p>3</p><p>1</p><p> </p><p> </p><p> ) </p><p>4</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=4^({\frac{1}{3}.\frac{1}{4}})=4 </p><p>(</p><p> </p><p>3</p><p>1</p><p> </p><p> . </p><p>4</p><p>1</p><p> </p><p> )</p><p></p><p>=4^{\frac{1}{3.4}}=4 </p><p>3.4</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=4^{\frac{1}{12}}=4 </p><p>12</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=(2^2)^{\frac{1}{12}}=(2 </p><p>2</p><p> ) </p><p>12</p><p>1</p><p> </p><p> </p><p> </p><p></p><p>=2^{\frac{2}{12}}=2 </p><p>12</p><p>2</p><p> </p><p> </p><p> </p><p></p><p>=2^{\frac{1}{6}}=2 </p><p>6</p><p>1</p><p> </p></body></html>


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