Solve operatorname{ri}1/125^-frac{1{3}}+32^frac{2{5}}+27^-frac{1{3}}

$$\operatorname { ri } \frac { 1 } { 125 } ^ { - \frac { 1 } { 3 } } + 32 ^ { \frac { 2 } { 5 } } + 27 ^ { - \frac { 1 } { 3 } }$$

Evaluate

$$5ir+\frac{13}{3}$$

Solution Steps

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

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

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

$$r\times \left(5i\right)+4+27^{-\frac{1}{3}}$$

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

$$r\times \left(5i\right)+4+\frac{1}{3}$$

Add 4 and \frac{1}{3} to get \frac{13}{3}.

$$r\times \left(5i\right)+\frac{13}{3}$$