Solve 25^frac{1{2}}-64^frac{1{3}}+27^frac{2{3}}

$$25 ^ { \frac { 1 } { 2 } } - 64 ^ { \frac { 1 } { 3 } } + 27 ^ { \frac { 2 } { 3 } }$$

Evaluate

$$10$$

Solution Steps

Calculate 25 to the power of \frac{1}{2} and get 5.

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

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

$$5-4+27^{\frac{2}{3}}$$

Subtract 4 from 5 to get 1.

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

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

$$1+9$$

Add 1 and 9 to get 10.

$$10$$

Factor

$$2\times 5$$