Solve {left(1/125right)}^-frac{1{3}}+{left(1/81right)}^-frac{3{4}}+{8}^frac{2{3}}=

$${ \left( \frac{ 1 }{ 125 } \right) }^{ - \frac{ 1 }{ 3 } } + { \left( \frac{ 1 }{ 81 } \right) }^{ - \frac{ 3 }{ 4 } } + { 8 }^{ \frac{ 2 }{ 3 } } =$$

Evaluate

$$36$$

Solution Steps

Calculate \frac{1}{125} to the power of -\frac{1}{3} and get 5.

$$5+\left(\frac{1}{81}\right)^{-\frac{3}{4}}+8^{\frac{2}{3}}$$

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

$$5+27+8^{\frac{2}{3}}$$

Add 5 and 27 to get 32.

$$32+8^{\frac{2}{3}}$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$32+4$$

Add 32 and 4 to get 36.

$$36$$

Factor

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