Solve (8/27)^frac{1{3}}+(16/81)^frac{1{4}}

$$( \frac { 8 } { 27 } ) ^ { \frac { 1 } { 3 } } + ( \frac { 16 } { 81 } ) ^ { \frac { 1 } { 4 } }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Calculate \frac{8}{27} to the power of \frac{1}{3} and get \frac{2}{3}.

$$\frac{2}{3}+\left(\frac{16}{81}\right)^{\frac{1}{4}}$$

Calculate \frac{16}{81} to the power of \frac{1}{4} and get \frac{2}{3}.

$$\frac{2}{3}+\frac{2}{3}$$

Add \frac{2}{3} and \frac{2}{3} to get \frac{4}{3}.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$