Question

Como se resolve essa conta, pf?

Answer 1

Olá Aninha 

vamos simplificar interior da raiz

(3^17 - 3^16)/6 = 

(3*3^16 - 3^16)/(2*3) = 2*3^16/(2*3) = 3^15 

⁵√3^15 = 3^(15/5) = 3^3 = 27 (A)

Answer 2

$\sqrt[5]{ \frac{3^{17}-3^{16}}{6} } = \sqrt[5]{ \frac{3^{16}\cdot(3-1)}{3\cdot2} } =\sqrt[5]{ \frac{3^{16}\cdot2}{3\cdot2} }=\sqrt[5]{ \frac{3^{16}}{3} }\\\\ =\sqrt[5]{ 3^{16-1}}}=\sqrt[5]{ 3^{15}}}=3^{ \frac{15}{5}}=3^3=27$