Question

Aplicando as propriedades dos radicais, determine o valor de y.

Answer 1

Resposta:

$\sqrt[27]{512} = \sqrt[3]{ {2}^{y} } \\ \\ \sqrt[27 \div 9]{ {2}^{9 \div 9} } = \sqrt[3]{ {2}^{y} } \\ \\ \sqrt[3]{ {2}^{1} } = \sqrt[3]{ {2}^{y} } \\ \\ {2}^{ \dfrac{1}{3} } = {2}^{ \dfrac{y}{3} } \\ \\ \dfrac{1}{ \red{3}} = \dfrac{y}{ \red{3}} \\ \\\green{y = 1}$

Bons Estudos!