Solve 27^frac{2{3}}+64^frac{1{3}}+(1/243)^-frac{3{5}}

$$27 ^ { \frac { 2 } { 3 } } + 64 ^ { \frac { 1 } { 3 } } + ( \frac { 1 } { 243 } ) ^ { - \frac { 3 } { 5 } }$$

Evaluate

$$40$$

Solution Steps

Calculate 27 to the power of \frac{2}{3} and get 9.

$$9+64^{\frac{1}{3}}+\left(\frac{1}{243}\right)^{-\frac{3}{5}}$$

Calculate 64 to the power of \frac{1}{3} and get 4.

$$9+4+\left(\frac{1}{243}\right)^{-\frac{3}{5}}$$

Add 9 and 4 to get 13.

$$13+\left(\frac{1}{243}\right)^{-\frac{3}{5}}$$

Calculate \frac{1}{243} to the power of -\frac{3}{5} and get 27.

$$13+27$$

Add 13 and 27 to get 40.

$$40$$

Factor

$$2^{3}\times 5$$