Solve {left(1/125right)}^-frac{1{3}}+{32}^frac{2{5}}+{27}^frac{1{3}}

$${ \left( \frac{ 1 }{ 125 } \right) }^{ - \frac{ 1 }{ 3 } } + { 32 }^{ \frac{ 2 }{ 5 } } + { 27 }^{ \frac{ 1 }{ 3 } }$$

Evaluate

$$12$$

Solution Steps

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

$$5+32^{\frac{2}{5}}+27^{\frac{1}{3}}$$

Calculate 32 to the power of \frac{2}{5} and get 4.

$$5+4+27^{\frac{1}{3}}$$

Add 5 and 4 to get 9.

$$9+27^{\frac{1}{3}}$$

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

$$9+3$$

Add 9 and 3 to get 12.

$$12$$

Factor

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