Solve 2/3*16^frac{1{2}}*32^frac{3{5}}

$$\frac { 2 } { 3 } \times 16 ^ { \frac { 1 } { 2 } } \times 32 ^ { \frac { 3 } { 5 } }$$

Evaluate

$$\frac{64}{3}\approx 21.333333333$$

Solution Steps

Calculate 16 to the power of \frac{1}{2} and get 4.

$$\frac{2}{3}\times 4\times 32^{\frac{3}{5}}$$

Multiply \frac{2}{3} and 4 to get \frac{8}{3}.

$$\frac{8}{3}\times 32^{\frac{3}{5}}$$

Calculate 32 to the power of \frac{3}{5} and get 8.

$$\frac{8}{3}\times 8$$

Multiply \frac{8}{3} and 8 to get \frac{64}{3}.

$$\frac{64}{3}$$

Factor

$$\frac{2 ^ {6}}{3} = 21\frac{1}{3} = 21.333333333333332$$