Solve (27)^frac{2{3}}*(9)^frac{1{2}}*(16)^frac{3{4}}

$$( 27 ) ^ { \frac { 2 } { 3 } } \times ( 9 ) ^ { \frac { 1 } { 2 } } \times ( 16 ) ^ { \frac { 3 } { 4 } }$$

Evaluate

$$216$$

Solution Steps

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

$$9\times 9^{\frac{1}{2}}\times 16^{\frac{3}{4}}$$

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

$$9\times 3\times 16^{\frac{3}{4}}$$

Multiply 9 and 3 to get 27.

$$27\times 16^{\frac{3}{4}}$$

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

$$27\times 8$$

Multiply 27 and 8 to get 216.

$$216$$

Factor

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