Resolver {left(1/216right)}^-frac{2{3}}+{left(1/27right)}^-frac{4{3}}

$${ \left( \frac{ 1 }{ 216 } \right) }^{ - \frac{ 2 }{ 3 } } + { \left( \frac{ 1 }{ 27 } \right) }^{ - \frac{ 4 }{ 3 } }$$

Calcular

$$117$$

Pasos da solución

Calcula \frac{1}{216} á potencia de -\frac{2}{3} e obtén 36.

$$36+\left(\frac{1}{27}\right)^{-\frac{4}{3}}$$

Calcula \frac{1}{27} á potencia de -\frac{4}{3} e obtén 81.

$$36+81$$

Suma 36 e 81 para obter 117.

$$117$$

Factorizar

$$3^{2}\times 13$$