Solve 3*8^frac{2{3}}*(27/8)^-frac{1{3}}

$$3 \cdot 8 ^ { \frac { 2 } { 3 } } \cdot ( \frac { 27 } { 8 } ) ^ { - \frac { 1 } { 3 } }$$

Evaluate

$$8$$

Solution Steps

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

$$3\times 4\times \left(\frac{27}{8}\right)^{-\frac{1}{3}}$$

Multiply 3 and 4 to get 12.

$$12\times \left(\frac{27}{8}\right)^{-\frac{1}{3}}$$

Calculate \frac{27}{8} to the power of -\frac{1}{3} and get \frac{2}{3}.

$$12\times \frac{2}{3}$$

Multiply 12 and \frac{2}{3} to get 8.

$$8$$

Factor

$$2^{3}$$