Solve (4^frac{3{2}}-8^frac{2{3}})^frac{3{2}}

$$( 4 ^ { \frac { 3 } { 2 } } - 8 ^ { \frac { 2 } { 3 } } ) ^ { \frac { 3 } { 2 } }$$

Evaluate

$$8$$

Solution Steps

Calculate 4 to the power of \frac{3}{2} and get 8.

$$\left(8-8^{\frac{2}{3}}\right)^{\frac{3}{2}}$$

Calculate 8 to the power of \frac{2}{3} and get 4.

$$\left(8-4\right)^{\frac{3}{2}}$$

Subtract 4 from 8 to get 4.

$$4^{\frac{3}{2}}$$

Calculate 4 to the power of \frac{3}{2} and get 8.

$$8$$

Factor

$$2^{3}$$