Solve operatorname{ari}(16)^frac{3{4}}*(27)^frac{2{3}}*(216)^frac{1{3}}

$$\operatorname { ari } ( 16 ) ^ { \frac { 3 } { 4 } } \cdot ( 27 ) ^ { \frac { 2 } { 3 } } \cdot ( 216 ) ^ { \frac { 1 } { 3 } }$$

Evaluate

$$432iar$$

Solution Steps

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

$$ar\times \left(8i\right)\times 27^{\frac{2}{3}}\times 216^{\frac{1}{3}}$$

Calculate 216 to the power of \frac{1}{3} and get 6.

$$ar\times \left(8i\right)\times 27^{\frac{2}{3}}\times 6$$

Multiply 8i and 6 to get 48i.

$$ar\times \left(48i\right)\times 27^{\frac{2}{3}}$$

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

$$ar\times \left(48i\right)\times 9$$

Multiply 48i and 9 to get 432i.

$$ar\times \left(432i\right)$$