Question

Ashuda por favor :c con algún tip me basta uwu

Answer 1

SOLUCIÓN

۞ HØlα!! ✌

Utilizaremos estas propiedades

                                $1. \:\boxed{\boldsymbol{a^{-n}= \dfrac{1}{a^n}}}\\\\\\ 2. \: \boxed{\boldsymbol{\dfrac{\frac{a}{b}}{\frac{c}{d}}= \dfrac{a\times d}{b\times c}}}$

Entonces

                               $\sqrt[n-1]{\dfrac{a^{n-1}+1}{\boldsymbol{a^{1-n}}+1}} \\\\\\\sqrt[n-1]{\dfrac{a^{n-1}+1}{\boldsymbol{a^{-(n-1)}}+1}}\\\\\\Propiedad \: 1\\\\\\\sqrt[n-1]{\dfrac{a^{n-1}+1}{\boldsymbol{\dfrac{1}{a^{n-1}}}+1}}\\\\\\Operamos\\\\\\\sqrt[n-1]{\dfrac{a^{n-1}+1}{\boldsymbol{\dfrac{a^{n-1}+1}{a^{n-1}}}}}\\\\\\\sqrt[n-1]{\dfrac{\dfrac{a^{n-1}+1}{1}}{\boldsymbol{\dfrac{a^{n-1}+1}{a^{n-1}}}}}\\\\\\Propiedad \: 2\\\\\\\sqrt[n-1]{\dfrac{(a^{n-1}+1)(a^{n-1})}{(1)(a^{n-1}+1)}}$

                              $Simplificamos\\\\\\\sqrt[n-1]{\dfrac{a^{n-1}}{1}}\\\\\\\sqrt[n-1]{a^{n-1}}} = a$