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

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

Evaluate

$$117$$

Solution Steps

Calculate \frac{1}{216} to the power of -\frac{2}{3} and get 36.

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

Calculate \frac{1}{27} to the power of -\frac{4}{3} and get 81.

$$36+81$$

Add 36 and 81 to get 117.

$$117$$

Factor

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