Solve {left(8/3div2*8/3right)}^2

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

Evaluate

$$\frac{1024}{81}\approx 12.641975309$$

Solution Steps

Express \frac{\frac{8}{3}}{2} as a single fraction.

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

Multiply 3 and 2 to get 6.

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

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{4}{3} and \frac{8}{3} to get \frac{32}{9}.

$$\left(\frac{32}{9}\right)^{2}$$

Calculate \frac{32}{9} to the power of 2 and get \frac{1024}{81}.

$$\frac{1024}{81}$$

Factor

$$\frac{2 ^ {10}}{3 ^ {4}} = 12\frac{52}{81} = 12.641975308641975$$