Question

O valor de $\frac{ \sqrt[7]{3^{25}- 3^{23} } }{72}$ é:

a) $\sqrt[7]{3}$
b) $\sqrt[7]{\frac{3}{8} }$
c) $\sqrt[7]{27}$
d)3
e)27

Answer 1

$\sqrt[7]{\frac{3^{25}-3^{23}}{72}} = \sqrt[7]{\frac{3^{21}(3^4-3^2)}{72}} =3^3*\sqrt[7]{\frac{81-9}{72}}=27*\sqrt[7]{\frac{72}{72}}=27*\sqrt[7]{1}=27$

Alternativa "e"