Question

quanto da 3 vezes raiz quinta de 27 dividido por 243 tem que transformar em potencia de base 2

Answer 1

$3*\sqrt[5]{\frac{27}{243}}=3*\sqrt[5]{\frac{3^3}{3^5}}=3*\frac{\sqrt[5]{3^3}}{\sqrt[5]{3^5}}=3*\frac{\sqrt[5]{3^3}}{3}=\sqrt[5]{3^3}=\sqrt[5]{27}$

ou

$3*\sqrt[5]{\frac{27}{243}}=3*\sqrt[5]{\frac{3^3}{3^5}}=3*\sqrt[5]{3^{(3-5)}}=3*\sqrt[5]{3^{-2}}=3*3^{\frac{-2}{5}}=3^{1+\frac{-2}{5}}=\\\\=3^{\frac{5-2}{5}}=3^{\frac{3}{5}}=\sqrt[5]{3^3}=\sqrt[5]{27}$