Solve 16^frac{3{4}}-9^frac{1{2}}+27^frac{2{3}}

$$16 ^ { \frac { 3 } { 4 } } - 9 ^ { \frac { 1 } { 2 } } + 27 ^ { \frac { 2 } { 3 } }$$

Evaluate

$$14$$

Solution Steps

Calculate 16 to the power of \frac{3}{4} and get 8.

$$8-9^{\frac{1}{2}}+27^{\frac{2}{3}}$$

Calculate 9 to the power of \frac{1}{2} and get 3.

$$8-3+27^{\frac{2}{3}}$$

Subtract 3 from 8 to get 5.

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

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

$$5+9$$

Add 5 and 9 to get 14.

$$14$$

Factor

$$2\times 7$$