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

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

Evaluate

$$26$$

Solution Steps

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

$$4-81^{\frac{1}{4}}+125^{\frac{2}{3}}$$

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

$$4-3+125^{\frac{2}{3}}$$

Subtract 3 from 4 to get 1.

$$1+125^{\frac{2}{3}}$$

Calculate 125 to the power of \frac{2}{3} and get 25.

$$1+25$$

Add 1 and 25 to get 26.

$$26$$

Factor

$$2\times 13$$