Question

(UPF-RS) simplificando a expressão$\sqrt[5]{3^17 - 3^16}$ obtem- se o valor:
6

Answer 1

$\sqrt[5]{ \dfrac{3^{17}-3^{16}}{6} } \\ \\ \\ \sqrt[5]{ \dfrac{3^{15}*3^2-3^{15}*3}{6} }} \\ \\ \\ \sqrt[5]{ \dfrac{3^{15}*(3^2-3)}{6} } \\ \\ \\ \sqrt[5]{ \dfrac{3^{15}*\not6}{\not6} }$

$\sqrt[5]{3^{15}} \\ \\ \\3^{ \frac{15}{5} }\\ \\ \\3^3 => 27$


Resposta  = 27